The solitary wave phenomena of the fractional Calogero-Bogoyavlenskii-Schiff equation

Authors: Hussain Gissy, Abdullah Ali H. Ahmadini, Ali H. Hakami

Source: AIMS Mathematics, Vol 10, Iss 1, Pp 420-437 (2025)

Subject Terms: fractional partial differential equations, fractional calogero-bogoyavlenskii-schiff equation, bäcklund transformation, riccatti equation, solitary wave solutions, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/69b952a0108b4710b47fa01880d9e92d

Lump-type kink wave phenomena of the space-time fractional phi-four equation

Authors: Khudhayr A. Rashedi, Musawa Yahya Almusawa, Hassan Almusawa, Tariq S. Alshammari, Adel Almarashi

Source: AIMS Mathematics, Vol 9, Iss 12, Pp 34372-34386 (2024)

Subject Terms: bäcklund transformation, fractional phi-four (pf), riccatti equation, symbolic computation, solitary wave solutions, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/c620bc2bcfa84efea1c3245588343efd

On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time

Authors: Ahmed Nauman, Macías-Díaz Jorge E., Umer Shazia, Baber Muhammad Z., Jawaz Muhammad, Vargas-Rodríguez Héctor

Source: Open Physics, Vol 22, Iss 1, Pp 240-85 (2024)

Subject Terms: sardar sub-equation method, estevez–mansfield–clarkson equation, exact analytical solutions, solitary wave solutions, Physics, QC1-999

File Description: electronic resource

Relation: https://doaj.org/toc/2391-5471

Access URL: https://doaj.org/article/9e0d8f825dc5415d8909cdcd71618c9b

Study of nonlinear wave equation of optical field for solotonic type results

Authors: Ikram Ullah, Muhammad Bilal, Dawood Shah, Hasib Khan, Jehad Alzabut, Hisham Mohammad Alkhawar

Source: Partial Differential Equations in Applied Mathematics, Vol 13, Iss , Pp 101048- (2025)

Subject Terms: Fractional differential equations, Modified Extended Direct Algebraic Method (mEDAM), Fractional perturbed Gerdjikov–Ivanov (PGI) model, Nonlinear optics, Solitary wave solutions, Advancements in mathematical modeling, Applied mathematics. Quantitative methods, T57-57.97

File Description: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S2666818124004340; https://doaj.org/toc/2666-8181

Access URL: https://doaj.org/article/282762b7cdbf489093104548371b8f5d

Dark and bright soliton phenomena of the generalized time-space fractional equation with gas bubbles

Authors: Musawa Yahya Almusawa, Hassan Almusawa

Source: AIMS Mathematics, Vol 9, Iss 11, Pp 30043-30058 (2024)

Subject Terms: fractional generalized non-linear wave equation, solitary wave solutions, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/46c50649abf6475eb2e6094ce1a4b98a

Derivation of some solitary wave solutions for the (3+1)- dimensional pKP-BKP equation via the IME tanh function method

Authors: Abeer S. Khalifa, Hamdy M. Ahmed, Niveen M. Badra, Jalil Manafian, Khaled H. Mahmoud, Kottakkaran Sooppy Nisar, Wafaa B. Rabie

Source: AIMS Mathematics, Vol 9, Iss 10, Pp 27704-27720 (2024)

Subject Terms: potential kadomtsev-petviashvili-b-type kadomtsev-petviashvili, npde, ime tanh function method, solitary wave solutions, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/6e4318370adb475d950346c9b173df3f

A SIMPLE JUSTIFICATION OF TANH METHOD FOR DISCRETE SOLITARY WAVE SOLUTIONS

Authors: Ahmad Syarif, Mahdhivan Syafwan, Admi Nazra

Source: Jurnal Lebesgue, Vol 5, Iss 2, Pp 1060-1065 (2024)

Subject Terms: solitary wave solutions, tanh method, difference-differential equations., solusi gelombang soliter, metode tanh, persamaan beda-diferensial., Mathematics, QA1-939

File Description: electronic resource

Relation: https://lebesgue.lppmbinabangsa.id/index.php/home/article/view/646; https://doaj.org/toc/2721-8929; https://doaj.org/toc/2721-8937

Access URL: https://doaj.org/article/6685ad9885aa4cf0ba198f685bf28ae1

Lax pairs and Bäcklund transformations for a new (3+1)-dimensional integrable equation utilizing symbolic computation

Authors: Adil Jhangeer, Asifa Zahid, Zeeshan Amjad, Nauman Raza, Taseer Muhammad

Source: Ain Shams Engineering Journal, Vol 15, Iss 12, Pp 103085- (2024)

Subject Terms: Auto–Bäcklund transformation, Hirota bilinear form, Bäcklund transformation, Solitary wave solutions, Solitons, Engineering (General). Civil engineering (General), TA1-2040

File Description: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S2090447924004660; https://doaj.org/toc/2090-4479

Access URL: https://doaj.org/article/9a0c064f44f24e509b266febf6c29e11

Signature of conservation laws and solitary wave solution with different dynamics in Thomas–Fermi plasma: Lie theory

Authors: Marriam Fayyaz, Muhammad Bilal Riaz, Muhammad Junaid U Rehman, Osman Tunç

Source: Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100923- (2024)

Subject Terms: Lie theory, Modified KP equation, Generalised auxiliary equation method, Solitary wave solutions, Conservation laws, Applied mathematics. Quantitative methods, T57-57.97

File Description: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S2666818124003097; https://doaj.org/toc/2666-8181

Access URL: https://doaj.org/article/1579836f69e34327addf90164f73e9e9

Diverse soliton wave profile analysis in ion-acoustic wave through an improved analytical approach

Authors: U.H.M. Zaman, Mohammad Asif Arefin, M. Ali Akbar, M. Hafiz Uddin

Source: Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100932- (2024)

Subject Terms: The truncated M-fractional derivative, The time fractional simplified modified Camassa–Holm equation, The new auxiliary equation technique, Shallow-water waves, Solitary wave solutions, Applied mathematics. Quantitative methods, T57-57.97

File Description: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S2666818124003188; https://doaj.org/toc/2666-8181

Access URL: https://doaj.org/article/835e3683e9a04ac78aa17e6bb0d684a6

Analyzing solitary wave solutions of the nonlinear Murray equation for blood flow in vessels with non-uniform wall properties

Authors: Mustafa Inc, Shabbir Hussain, Ali Hasan Ali, Muhammad Sajid Iqbal, Romana Ashraf, Muhammad Akhtar Tarar, Muhammad Adnan

Source: Scientific Reports, Vol 14, Iss 1, Pp 1-13 (2024)

Subject Terms: Solitary wave solutions, Nonlinear Murray equation, Modified extended direct algebraic method, Medicine, Science

File Description: electronic resource

Relation: https://doaj.org/toc/2045-2322

Access URL: https://doaj.org/article/799c3dc498dd48228f3cba99e86921ee

Novel analytic solutions of strain wave model in micro-structured solids

Authors: Rabie Wafaa B., Ahmed Hamdy M., Hussein Hisham H.

Source: Nonlinear Engineering, Vol 13, Iss 1, Pp 437-46 (2024)

Subject Terms: stress waves, solitary wave solutions, periodic solutions, jacobi elliptic function solutions, analytic method, Engineering (General). Civil engineering (General), TA1-2040

File Description: electronic resource

Relation: https://doaj.org/toc/2192-8029

Access URL: https://doaj.org/article/9825a08522c0483faa97f44074d8a0dc

Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method

Authors: Muhammad Bilal, Javed Iqbal, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad, Ikram Ullah

Source: Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100832- (2024)

Subject Terms: Nonlinear Fractional partial differential equations (NFPDEs), Space–time fractional Kundu–Eckhaus equation, Extended direct algebraic method (EDAM), Solitary wave solutions, Nonlinear ordinary differential equations (NODE), Variable transformation, Applied mathematics. Quantitative methods, T57-57.97

File Description: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S2666818124002183; https://doaj.org/toc/2666-8181

Access URL: https://doaj.org/article/9fd9be2300074408ad9f5b886c2d9631

Numerical treatment of the KP–MEW equation and the Konno–Oono equation using the first-integral method

Authors: Sidheswar Behera

Source: Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100846- (2024)

Subject Terms: First-integral method, KP–MEW equation, Konno–Oono equation, Traveling wave solutions, Solitary wave solutions, Applied mathematics. Quantitative methods, T57-57.97

File Description: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S2666818124002328; https://doaj.org/toc/2666-8181

Access URL: https://doaj.org/article/f5197591463b4e8cb5f8292e17cc838a

Solitary Wave Solutions to the General Class of Nonlocal Nonlinear Coupled Wave Equations

Authors: Gülçin Mihriye Muslu, Şenay Pasinlioğlu

Source: Düzce Üniversitesi Bilim ve Teknoloji Dergisi, Vol 12, Iss 2, Pp 947-956 (2024)

Subject Terms: kuple boussinesq denklemler, petviashvili iterasyon yöntemi, yalnız dalga çözümleri., coupled boussinesq equations, petviashvili's iteration method, solitary wave solutions., Technology, Engineering (General). Civil engineering (General), TA1-2040, Science, Science (General), Q1-390

File Description: electronic resource

Relation: https://dergipark.org.tr/tr/download/article-file/2947956; https://doaj.org/toc/2148-2446

Access URL: https://doaj.org/article/d3894df8adbd485b9b364626a9944f96

Applications of Riccati–Bernoulli and Bäcklund Methods to the Kuralay-II System in Nonlinear Sciences

Authors: Khudhayr A. Rashedi, Musawa Yahya Almusawa, Hassan Almusawa, Tariq S. Alshammari, Adel Almarashi

Source: Mathematics, Vol 13, Iss 1, p 84 (2024)

Subject Terms: Bäcklund transformation, Riccati–Bernoulli sub-ODE method, fractional Kuralay-II system (K-IIS), solitary wave solutions, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/13/1/84; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/f892b22765f646bba01f7a5cb3033c09

Exploring optical solitary wave solutions in the (2+1)-dimensional equation with in-depth of dynamical assessment

Authors: Ashaq, Hira ^a, Majid, Sheikh Zain ^{a, ⁎}, Riaz, Muhammad Bilal ^{b, c}, Asjad, Muhammad Imran ^a, Muhammad, Taseer ^d

Source: In Heliyon 30 June 2024 10(12)

Bifurcations of traveling wave solutions for the mixed Korteweg-de Vries equation

Authors: Hui Wang, Xue Wang

Source: AIMS Mathematics, Vol 9, Iss 1, Pp 1652-1663 (2024)

Subject Terms: planar dynamical systems, bifurcation, the mixed kdv equation, solitary wave solutions, periodic wave solutions, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/d1c5bd46112f4f909daeafef52fe957e

A comparative analysis of generalized and extended (G′G)-Expansion methods for travelling wave solutions of fractional Maccari's system with complex structure

Authors: Rashid Ali, Elsayed Tag-eldin

Source: Alexandria Engineering Journal, Vol 79, Iss , Pp 508-530 (2023)

Subject Terms: Fractional Maccari's system, Analytical method, Travelling wave solution, Families of solutions, Solitary wave solutions, Engineering (General). Civil engineering (General), TA1-2040

File Description: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S1110016823006919; https://doaj.org/toc/1110-0168

Access URL: https://doaj.org/article/d8d7ecfbdc134429881432973e927817

Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods, and Applications

Contributors: Kudryashov, Nikolai

Subject Terms: stochastic Kuramoto–Sivashinsky, fractional Kuramoto–Sivashinsky, exact stochastic-fractional solutions, ({(\frac{G^{\prime }}{G})}\)-expansion method, dynamics, hydraulic drive, similarity, multicriteria optimization, generalized Schrödinger equation, solitary wave, exact solution, implicit function, spiking neural networks, synaptic plasticity, spike-timing-dependent plasticity, memristor, solitons, refractive index, Kudryashov, generalized 2D equal-width equation, Weierstrass elliptic functions, Kudryashov’s method, conservation laws, Noether’s theorem, improved adomian decomposition method, optical soliton, Fokas–Lenells equations, cubic-quartic optical solitons, multiwave, periodic cross-kink solutions, rational and interaction solutions, time-fractional ion sound and Langmuir waves system, generalized SIdV equation, auxiliary equation method, exact traveling waves, solitary waves—kink and bell types, periodic waves, peakon, Cardano, semi-inverse, perturbation, polynomial law, Laplace–Adomian decomposition, birefringence, NLSE, lump solitons, breathers, a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation, Lie point symmetries, optimal system of Lie subalgebras, bifurcation theory, exact solitary wave solutions, Bragg gratings, porous media, stability, pore-scale network model, drainage, generalized nonlinear Schrödinger equation, Kerr nonlinearity, simplest equation method, dispersion of unrestricted order, nonlinear partial differential equations, differential constraints, gas hydrates, multi-component fluid dynamic, permafrost formation, self-gravitation, magnetohydrodynamic forces, support operator method, mathematical modeling, COVID-19 pandemic, inverse problems, time-dependent SEIR model, Research and information: general, Mathematics and Science

File Description: application/octet-stream

Access URL: https://directory.doabooks.org/handle/20.500.12854/113903
https://mdpi.com/books/pdfview/book/7744