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

• Other Authors: Kudryashov, Nikolai (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: Research & information: general; Mathematics & science; 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
• Online Access: DOAB: download the publication; DOAB: description of the publication

This reprint contains the 19 articles accepted and published in the Special Issue "Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods and Applications, 2023" of the MDPI "Mathematics" journal. This publication covers a wide range of topics pertaining t...