Symmetry group analysis and conservation laws of the potential modified KdV equation using the scaling method

DOI10.1142/S0219887822500980MaRDI QIDQ6495997

Amin Tanhaeivash, Amirhesam Zaeim, Mehdi Jafari

Publication date: 2 May 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

conservation lawgroup invariant solutionhomotopy operatorLie symmetry groupscaling symmetrypotential mKdV equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Symmetries and conservation laws in mechanics of particles and systems (70S10) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Cites Work

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• Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions
• Exact solutions to mKdV equation with variable coefficients
• Applications of symmetry methods to partial differential equations
• Symmetry and integration methods for differential equations
• Conservation laws and exact solutions with symmetry reduction of nonlinear reaction diffusion equations
• Lie symmetries, symmetry reductions and conservation laws of time fractional modified Korteweg-de Vries (mKdV) equation
• Application of conservation theorem and modified extended tanh-function method to (1+1)-dimensional nonlinear coupled Klein-Gordon-Zakharov equation
• The discrete Korteweg-de Vries equation
• On a class of moving boundary problems for the potential mkdV equation: conjugation of Bäcklund and reciprocal transformations
• Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
• Symbolic computation of conservation laws of nonlinear partial differential equations in multi‐dimensions
• On symmetries, conservation laws and exact solutions of the nonlinear Schrödinger–Hirota equation
• Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws

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