Lie-Bäcklund symmetry, reduction, and solutions of nonlinear evolutionary equations

DOI10.1007/S11253-022-02070-WzbMath1501.35018OpenAlexW4307818369MaRDI QIDQ2094921

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/s11253-022-02070-w

zbMATH Keywords

ansatzes reducing PDEs to ODEs

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Symmetries, invariants, etc. in context of PDEs (35B06)

Uses Software

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Cites Work

• Nonpoint symmetry and reduction of nonlinear evolution and wave type equations
• Lie-Bäcklund symmetries of linear ODEs and generalized separation of variables in nonlinear equations
• The construction of special solutions to partial differential equations
• Generalized conditional symmetries of evolution equations
• Group-Invariant Solutions of Differential Equations
• Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method
• Nonlinear interaction of traveling waves of nonintegrable equations
• Conditional Lie-Backlund symmetry and reduction of evolution equations
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