Equivalent transformations, bifurcations and exact solutions to a class of variable-coefficient PDE

DOI10.1016/J.NUCLPHYSB.2020.115172zbMath1475.35121OpenAlexW3087062395MaRDI QIDQ823000

Xuexia Li, Hanze Liu, Lina Chang, Li-jun Zhang

Publication date: 24 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2020.115172

zbMATH Keywords

exact parametric representationsgeneralized variable-coefficient KdV equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for nonlinear higher-order PDEs (35G25) Bifurcations in context of PDEs (35B32) Solutions to PDEs in closed form (35C05)

Related Items (2)

Improved equivalent transformation method for reduction NLPDEs with time-dependent variables ⋮ Traveling wave solution of bad and good modified Boussinesq equations with conformable fractional-order derivative

Cites Work

• Unnamed Item
• Unnamed Item
• New explicit solutions of the fifth-order KdV equation with variable coefficients
• A (2+1)-dimensional KdV equation and mKdV equation: symmetries, group invariant solutions and conservation laws
• Symmetry and integration methods for differential equations
• Invariant subspace classification and exact solutions to the generalized nonlinear D-C equation
• Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations
• High order nonlocal symmetries and exact interaction solutions of the variable coefficient KdV equation
• CK transformations, symmetries, exact solutions and conservation laws of the generalized variable-coefficient KdV types of equations
• Symmetry reduction and exact solutions of the non-linear Black-Scholes equation
• Symmetry reductions of a generalized Kuramoto-Sivashinsky equation via equivalence transformations
• Equivalent transformations and exact solutions to the generalized cylindrical KdV type of equation
• Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations
• Symmetry reductions, dynamical behavior and exact explicit solutions to a class of nonlinear shallow water wave equation
• Exact traveling wave solutions and dynamical behavior for the \((n+1)\)-dimensional multiple sine-Gordon equation
• Dynamics of Traveling Wave Solutions to a New Highly Nonlinear Shallow Water Wave Equation
• Breathers and Rogue Waves Derived from an Extended Multi-dimensional N -Coupled Higher-Order Nonlinear Schrödinger Equation in Optical Communication Systems
• New similarity reductions of the Boussinesq equation
• A variable coefficient Korteweg–de Vries equation: Similarity analysis and exact solution. II
• Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method

This page was built for publication: Equivalent transformations, bifurcations and exact solutions to a class of variable-coefficient PDE