Invariant analysis, optimal system, power series solutions and conservation laws of Kersten-Krasil'shchik coupled KdV-mKdV equations
DOI10.1016/j.geomphys.2022.104677zbMath1500.35011OpenAlexW4296687829MaRDI QIDQ2085443
Publication date: 18 October 2022
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2022.104677
conservation lawsinvariant solutionsadjoint representationLie symmetry analysisKersten-Krasil'shchik coupled KdV-mKdV equationsoptimal sub-algebra
KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Series solutions to PDEs (35C10) Nonlinear higher-order PDEs (35G20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, invariants, etc. in context of PDEs (35B06)
Cites Work
- Unnamed Item
- Group classification for isothermal drift flux model of two phase flows
- A Lie symmetry approach to nonlinear Schrödinger's equation with non-Kerr law nonlinearity
- Bilinear approach to quasi-periodic wave solutions of the Kersten-Krasil'shchik coupled KdV-mKdV system
- Lie symmetry analysis and some exact solutions of \((2+1)\)-dimensional KdV-Burgers equation
- Solitary wave and doubly periodic wave solutions for the Kersten-Krasil'shchik coupled KdV-mKdV system
- Similarity solutions for three-dimensional Euler equations using Lie group analysis
- Integrating factors, adjoint equations and Lagrangians
- Some more invariant solutions of \((2+1)\)-water waves
- Lie Symmetry Analysis, Conservation Laws and Exact Power Series Solutions for Time-Fractional Fordy–Gibbons Equation
- Integrability of Kersten–Krasil’shchik coupled KdV–mKdV equations: singularity analysis and Lax pair
- New various multisoliton kink‐type solutions of the (1 + 1)‐dimensional Mikhailov–Novikov–Wang equation
- An Introduction to Nonlinear Partial Differential Equations, Second Edition
- Exact solutions for nonlinear partial differential equation: a new approach
This page was built for publication: Invariant analysis, optimal system, power series solutions and conservation laws of Kersten-Krasil'shchik coupled KdV-mKdV equations