How to find solutions, Lie symmetries, and conservation laws of forced Korteweg-de Vries equations in optimal way

DOI10.1016/J.NONRWA.2012.05.013zbMath1253.35151OpenAlexW2024078124MaRDI QIDQ1926420

Valentyna Listopadova, Olena Magda, Vira Pobyzh

Publication date: 28 December 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.05.013

zbMATH Keywords

conservation lawsexact solutionsLie symmetriesforced KdV equationequivalence-based approach

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Nonisospectral scattering problems and similarity reductions ⋮ Lie group analysis of a forced KdV equation ⋮ Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation ⋮ Invariant analysis and exact solutions of nonlinear time fractional Sharma-Tasso-Olver equation by Lie group analysis ⋮ Exact multi-wave solutions for the KdV equation

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