Nonclassical symmetries and similarity solutions of variable coefficient coupled KdV system using compatibility method
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Publication:1742008
DOI10.1007/s11071-016-3132-3zbMath1384.35112OpenAlexW2530670560MaRDI QIDQ1742008
Publication date: 11 April 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-016-3132-3
KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (8)
Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation ⋮ On nonclassical symmetries, Painlevé analysis and singular, periodic and solitary wave solutions of generalized Hirota-Satsuma coupled KdV system ⋮ Nonclassical symmetry analysis, conservation laws of one-dimensional macroscopic production model and evolution of nonlinear waves ⋮ Differential Equations Invariant Under Conditional Symmetries ⋮ Construction of Partial Differential Equations with Conditional Symmetries ⋮ Fractional differential equations, compatibility, and exact solutions ⋮ Dispersion analysis and improved F-expansion method for space-time fractional differential equations ⋮ New similarity solutions of a generalized variable-coefficient Gardner equation with forcing term
Cites Work
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- A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations
- Symmetries and conservation laws of a fifth-order KdV equation with time-dependent coefficients and linear damping
- Invariant solutions of variable coefficients generalized Gardner equation
- Exact solutions for nonlinear evolution equations using novel test function
- Painlevé analysis and invariant solutions of Vakhnenko-Parkes (VP) equation with power law nonlinearity
- Solitons and other nonlinear waves of the Boussinesq equation
- Similarity reductions and exact solutions of generalized Bretherton equation with time-dependent coefficients
- Painlevé analysis, Lie symmetries and exact solutions for \((2+1)\)-dimensional variable coefficients Broer-Kaup equations
- Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- A Jacobi dual-Petrov Galerkin-Jacobi collocation method for solving Korteweg-de Vries equations
- The exact solutions to the complex KdV equation
- Nonclassical symmetry reductions of the Boussinesq equation.
- New solitons and periodic wave solutions for nonlinear physical models
- Further improved F-expansion and new exact solutions for nonlinear evolution equations
- Symmetry and similarity solutions of variable coefficients generalized Zakharov-Kuznetsov equation
- The generalizing Riccati equation mapping method in non-linear evolution equation: Application to \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation
- Symmetry reductions and similarity solutions of the \((3+1)\)-dimensional breaking soliton equation
- Lie algebras and equations of Korteweg-de Vries type
- Complex version KdV equation and the periods solution
- Periodic wave solutions to a coupled KdV equations with variable coefficients
- Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method
- Bäcklund transformations, Lax system, conservation laws and multisoliton solutions for Jimbo-Miwa equation with Bell-polynomials
- On symmetries and invariant solutions of a coupled KdV system with variable coefficients
- Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients gardner equations
- Soliton solutions of the generalized Klein-Gordon equation by using \(\left(\frac{G'}{G}\right)\)-expansion method
- The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
- Is a nonclassical symmetry a symmetry?
- Coupled KdV equations derived from two-layer fluids
- Non-classical symmetry reduction: example of the Boussinesq equation
- New similarity reductions and Painleve analysis for the symmetric regularised long wave and modified Benjamin-Bona-Mahoney equations
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
- Thirring combo-solitons with cubic nonlinearity and spatio-temporal dispersion
- Applying a new algorithm to derive nonclassical symmetries
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