Conditional and hidden infinite-dimensional symmetries of wave equations

DOI10.1007/s11253-022-02069-3zbMath1501.35019OpenAlexW4307820632MaRDI QIDQ2094920

Yanyan Li

Publication date: 8 November 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-022-02069-3

zbMATH Keywords

Klein-Gordon equation

Mathematics Subject Classification ID

Symmetries, invariants, etc. in context of PDEs (35B06) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A precise definition of reduction of partial differential equations
• The construction of special solutions to partial differential equations
• Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein-Gordon equations
• Differential invariants, hidden and conditional symmetry
• Group classification and exact solutions of nonlinear wave equations
• The symmetry and some exact solutions of the nonlinear many-dimensional Liouville, d'Alembert and eikonal equations
• Non-classical symmetry reduction: example of the Boussinesq equation
• New similarity reductions of the Boussinesq equation
• Antireduction and exact solutions of nonlinear heat equations
• Conditional Symmetry and Exact Solutions of the Multidimensional Nonlinear d'Alembert Equation
• Hidden symmetries and nonlocal group generators for ordinary differential equations
• Generalized symmetries and conservation laws of (1 + 1)-dimensional Klein–Gordon equation
• Symmetries and differential equations

This page was built for publication: Conditional and hidden infinite-dimensional symmetries of wave equations