Bilinear Optimal Control for a Nonlinear Parabolic Equation Involving Nonlocal-in-Time Term.

Authors: Mophou, Gisèle¹ (AUTHOR) arnaud.fournier@univ-antilles.fr, Fournier, Arnaud¹ (AUTHOR), Jean-Alexis, Célia¹ (AUTHOR)

Source: Axioms (2075-1680). Jan2025, Vol. 14 Issue 1, p38. 35p.

Subject Terms: *PARABOLIC differential equations, *NONLINEAR evolution equations, *EVOLUTION equations, *NONLINEAR equations, *EQUATIONS of state

A new plentiful solutions for nanosolitons of ionic (NSIW) waves spread the length of microtubules in (MLC) living cells.

Authors: Ouahid, Loubna¹ (AUTHOR), Abdou, M. A.¹ (AUTHOR), Al Shahrani, Jameelah S.² (AUTHOR), Abdel-Baset, A. Mohamed¹ (AUTHOR), Akgül, Ali^3,4,5,6 (AUTHOR) aliakgul00727@gmail.com, Hassani, Murad Khan⁷ (AUTHOR) mhassani@gu.edu.af

Source: Scientific Reports. 2/20/2025, Vol. 15 Issue 1, p1-14. 14p.

Subject Terms: *NONLINEAR evolution equations, *ION acoustic waves, *OPTICAL solitons, *IONIC solutions, *MICROTUBULES

Dynamic behavior of solitons in nonlinear Schrödinger equations.

Authors: Khater, Mostafa M. A.^1,2,3 (AUTHOR) mostafa.khater2024@yahoo.com, Alfalqi, Suleman H.⁴ (AUTHOR), Vokhmintsev, Aleksander⁵ (AUTHOR)

Source: Scientific Reports. 2/3/2025, Vol. 15 Issue 1, p1-15. 15p.

Subject Terms: *NONLINEAR Schrodinger equation, *NONLINEAR evolution equations, *BOSE-Einstein condensation, *ANALYTICAL solutions, *APPLIED mathematics

TRAVELLING WAVE SOLUTIONS FOR THE TIME-FRACTIONAL EQUATIONS BY THE SINE-GORDON EXPANSION METHOD.

Authors: ÜNAL, METIN¹, drmetintr@yahoo.co.uk

Source: TWMS Journal of Applied & Engineering Mathematics; 2025, Vol. 15 Issue 1, p215-228, 14p

New Processing Technique of Jacobian Elliptic Equation and Its Application to the (3+1)-Dimensional Modified Korteweg de Vries–Zakharov–Kuznetsov Equation.

Authors: Wu, Guojiang¹ (AUTHOR) gjwu5221@163.com, Guo, Yong² (AUTHOR) yguo@ipp.ac.cn, Yu, Yanlin¹ (AUTHOR) yguo@ipp.ac.cn

Source: Symmetry (20738994). Oct2024, Vol. 16 Issue 10, p1285. 19p.

Subject Terms: *NONLINEAR evolution equations, *ELLIPTIC equations, *EVOLUTION equations, *ELLIPTIC functions, *WAVE equation

Perturbation Methods in Solving the Problem of Two Bodies of Variable Masses with Application of Computer Algebra.

Authors: Prokopenya, Alexander¹, alexander_prokopenya@sggw.edu.pl, Minglibayev, Mukhtar², minglibayev@gmail.com, Ibraimova, Aigerim³, ibraimova@fai.kz

Source: Applied Sciences (2076-3417); Dec2024, Vol. 14 Issue 24, p11669, 16p

The Averaged Hydrostatic Boussinesq Ocean Equations in Generalized Vertical Coordinates.

Authors: Jansen, Malte F.¹ (AUTHOR) mfj@uchicago.edu, Adcroft, Alistair² (AUTHOR), Griffies, Stephen M.^2,3 (AUTHOR), Grooms, Ian⁴ (AUTHOR)

Source: Journal of Advances in Modeling Earth Systems. Dec2024, Vol. 16 Issue 12, p1-28. 28p.

Subject Terms: *BOUSSINESQ equations, *EVOLUTION equations, *ADVECTION, *OCEAN, *EQUATIONS

On the role of soft and non-perturbative gluons in collinear parton densities and parton shower event generators.

Authors: Mendizabal, M.¹ (AUTHOR), Guzman, F.² (AUTHOR), Jung, H.^1,3,4 (AUTHOR) jung@mail.desy.de, Taheri Monfared, S.¹ (AUTHOR)

Source: European Physical Journal C -- Particles & Fields. Dec2024, Vol. 84 Issue 12, p1-11. 11p.

Subject Terms: *EVOLUTION equations, *HADRONS, *GLUONS, *DENSITY

Study on Damage Constitutive Model of Reactive Powder Concrete in Uniaxial Tension.

Authors: Zhang, Hongji¹, 13674348296@163.com, Lu, Hang², aries002@163.com, Wang, Ziheng², 17758875737@163.com, Gao, Siming², 13845648752@163.com, Wen, Bo², 18143628783@163.com, Ju, Yanzhong¹, juyanzhong@126.com

Source: Buildings (2075-5309); Dec2024, Vol. 14 Issue 12, p3805, 12p

Solving fractional integro-differential equations with delay and relaxation impulsive terms by fixed point techniques.

Authors: Kattan, Doha A.¹ (AUTHOR), Hammad, Hasanen A.² (AUTHOR) h.abdelwareth@qu.edu.sa

Source: Boundary Value Problems. 11/4/2024, Vol. 2024 Issue 1, p1-20. 20p.

Subject Terms: *EVOLUTION equations, *INTEGRAL transforms, *DIFFERENTIAL equations, *INTEGRAL equations, *EXISTENCE theorems, *INTEGRO-differential equations

Groups, Lie rings and braces.

Authors: Shalev, Aner¹ shalev@math.huji.ac.il, Smoktunowicz, Agata² a.smoktunowicz@ed.ac.uk

Source: Bulletin of the Belgian Mathematical Society - Simon Stevin. Nov2024, Vol. 31 Issue 4, p422-433. 12p.

Subject Terms: *EVOLUTION equations

Superposition and Interaction Dynamics of Complexitons, Breathers, and Rogue Waves in a Landau–Ginzburg–Higgs Model for Drift Cyclotron Waves in Superconductors.

Authors: Saber, Hicham¹ (AUTHOR), Suhail, Muntasir² (AUTHOR) m.suhail@qu.edu.sa, Alsulami, Amer³ (AUTHOR), Aldwoah, Khaled⁴ (AUTHOR) m.suhail@qu.edu.sa, Mustafa, Alaa⁵ (AUTHOR), Hassan, Mohammed⁶ (AUTHOR)

Source: Axioms (2075-1680). Nov2024, Vol. 13 Issue 11, p763. 14p.

Subject Terms: *ROGUE waves, *NONLINEAR evolution equations, *CONTOURS (Cartography), *NONLINEAR systems, *SUPERCONDUCTIVITY

Stability of Certain Non-Autonomous Cooperative Systems of Difference Equations with the Application to Evolutionary Dynamics.

Authors: Kulenović, Mustafa R. S.¹ (AUTHOR) mkulenovic@uri.edu, Nurkanović, Mehmed² (AUTHOR) mehmed.nurkanovic@untz.ba, Nurkanović, Zehra² (AUTHOR) zehra.nurkanovic@untz.ba, Trolle, Susan¹ (AUTHOR)

Source: Axioms (2075-1680). Nov2024, Vol. 13 Issue 11, p730. 21p.

Subject Terms: *DISCRETE systems, *EVOLUTION equations, *SYSTEM dynamics, *DYNAMICAL systems, *COOPERATION

Domain growth kinetics in active binary mixtures.

Authors: Mondal, Sayantan¹ (AUTHOR), Das, Prasenjit¹ (AUTHOR) prasenjit.das@iisermohali.ac.in

Source: Journal of Chemical Physics. 10/7/2024, Vol. 161 Issue 13, p1-9. 9p.

Subject Terms: *EVOLUTION equations, *PHASE separation, *EULER equations, *STATISTICAL correlation, *MIXTURES

Equivalent Fatigue Constitutive Model Based on Fatigue Damage Evolution of Concrete.

Authors: Chen, Huating¹, chenhuating@bjut.edu.cn, Sun, Zhenyu², szyszy990509@emails.bjut.edu.cn, Zhang, Xianwei³, zhangxianwei7@ccccltd.cn, Zhang, Wenxue², zhwx@bjut.edu.cn

Source: Applied Sciences (2076-3417); Oct2024, Vol. 14 Issue 19, p8721, 33p

Exact Solutions of Boussinesq Equations by Hirota Direct Method.

Authors: GÜMÜŞ, Halide¹, halidegumus@hotmail.com, BAYKAL, Abdullah¹

Source: Afyon Kocatepe University Journal of Science & Engineering / Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi; Oct2024, Vol. 24 Issue 5, p1113-1119, 7p

Nonseparable wave evolution equations in quantum kinetics.

Authors: Dedes, C.¹ c_dedes@yahoo.com

Source: Physics Essays. Sep2024, Vol. 37 Issue 3, p215-219. 5p.

Subject Terms: *INTEGRO-differential equations, *EVOLUTION equations, *WIGNER distribution, *WAVE equation, *PHASE space

Well-posedness and properties of the flow for semilinear evolution equations.

Authors: Mironchenko, Andrii¹ (AUTHOR) andrii.mironchenko@uni-passau.de

Source: Mathematics of Control, Signals & Systems. Sep2024, Vol. 36 Issue 3, p483-523. 41p.

Subject Terms: *EVOLUTION equations, *LIPSCHITZ continuity, *NONLINEAR equations

Maximizing the Absorbing Performance of Rectangular Sonic Black Holes †.

Authors: Červenka, Milan¹, bednarik@fel.cvut.czmilan.cervenka@fel.cvut.cz, Bednařík, Michal¹

Source: Applied Sciences (2076-3417); Sep2024, Vol. 14 Issue 17, p7766, 16p

Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schördinger equation.

Authors: Majid, Sheikh Zain¹ (AUTHOR) zain2ndaugust@gmail.com, Asjad, Muhammad Imran¹ (AUTHOR), Riaz, Muhammad Bilal^2,3 (AUTHOR), Muhammad, Taseer⁴ (AUTHOR)

Source: PLoS ONE. 8/28/2024, Vol. 18 Issue 8, p1-27. 27p.

Subject Terms: *NONLINEAR evolution equations, *BOSE-Einstein condensation, *RICCATI equation, *NONLINEAR equations, *NONLINEAR optics