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

• Format: eBook
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: ({(\frac{G^{\prime }}{G})}\)-expansion method; a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation; auxiliary equation method; bifurcation theory; birefringence; Bragg gratings; breathers; Cardano; conservation laws; COVID-19 pandemic; cubic-quartic optical solitons; differential constraints; dispersion of unrestricted order; drainage; dynamics; exact solitary wave solutions; exact solution; exact stochastic-fractional solutions; exact traveling waves; Fokas–Lenells equations; fractional Kuramoto–Sivashinsky; gas hydrates; generalized 2D equal-width equation; generalized nonlinear Schrödinger equation; generalized Schrödinger equation; generalized SIdV equation; hydraulic drive; implicit function; improved adomian decomposition method; inverse problems; Kerr nonlinearity; Kudryashov; Kudryashov’s method; Laplace–Adomian decomposition; Lie point symmetries; lump solitons; magnetohydrodynamic forces; mathematical modeling; Mathematics and Science; memristor; multi-component fluid dynamic; multicriteria optimization; multiwave; NLSE; Noether’s theorem; nonlinear partial differential equations; optical soliton; optimal system of Lie subalgebras; peakon; periodic cross-kink solutions; periodic waves; permafrost formation; perturbation; polynomial law; pore-scale network model; porous media; rational and interaction solutions; Reference, Information and Interdisciplinary subjects; refractive index; Research and information: general; self-gravitation; semi-inverse; similarity; simplest equation method; solitary wave; solitary waves—kink and bell types; solitons; spike-timing-dependent plasticity; spiking neural networks; stability; stochastic Kuramoto–Sivashinsky; support operator method; synaptic plasticity; time-dependent SEIR model; time-fractional ion sound and Langmuir waves system; Weierstrass elliptic functions

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 to the theory and app...