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

Bifurcation Theory, Lie Group-Invariant Solutions of Subalgebras and Conservation Laws of a Generalized (2+1)-Dimensional BK Equation Type II in Plasma Physics and Fluid Mechanics

Authors: Oke Davies Adeyemo, Lijun Zhang, Chaudry Masood Khalique

Source: Mathematics, Vol 10, Iss 14, p 2391 (2022)

Subject Terms: a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation, Lie point symmetries, optimal system of Lie subalgebras, bifurcation theory, exact solitary wave solutions, conservation laws, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/10/14/2391; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/d30b6804d29c46988d2317fd77956257