Symmetry reductions, exact solutions and conservation laws of a new coupled KdV system
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Publication:450316
DOI10.1016/j.cnsns.2012.01.010zbMath1248.35180OpenAlexW2065616506MaRDI QIDQ450316
Abdullahi Rashid Adem, Chaudry Masood Khalique
Publication date: 13 September 2012
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.01.010
conservation lawssolitary wavessimplest equation methodcnoidal and snoidal wavescoupled KdV systemJacobi elliptic function methodLie symmetry methods
KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)
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Uses Software
Cites Work
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- Unnamed Item
- A study on KdV and Gardner equations with time-dependent coefficients and forcing terms
- Symmetry analysis of an integrable Itô coupled system
- Conservation laws and invariant solutions in the Fanno model for turbulent compressible flow
- Symbolic methods to construct exact solutions of nonlinear partial differential equations
- GeM software package for computation of symmetries and conservation laws of differential equations
- Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity
- 1-soliton solution of Benjamin-Bona-Mahoney equation with dual-power law nonlinearity
- Completely integrable coupled KdV and coupled KP systems
- Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics
- Exact solitary waves of the Fisher equation
- Application of exp-function method to high-dimensional nonlinear evolution equation
- Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation
- Invariant solutions and conservation laws to nonconservative FP equation
- Coupled KdV equations with multi-Hamiltonian structures
- Extension of the module of invertible transformations. Classification of integrable systems
- Jordan algebras and generalized Korteweg-de Vries equations
- Jordan algebras and integrable systems
- Jordan KdV systems and Painlevé property
- A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
- An algebraic method exactly solving two high-dimensional nonlinear evolution equations
- New exact solutions to a solutions to a system of coupled KdV equations
- Degenerate Svinolupov KdV systems
- Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
- Simplest equation method to look for exact solutions of nonlinear differential equations
- The History of the Soliton
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Generalised KdV and MKdV equations associated with symmetric spaces
- Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
- A Hierarchy of Coupled Korteweg–de Vries Equations and the Corresponding Finite-Dimensional Integrable System
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Symmetries and differential equations
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