An extended Korteweg-de Vries equation: multi-soliton solutions and conservation laws
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Publication:1696888
DOI10.1007/S11071-017-3749-XzbMath1380.35139OpenAlexW2749330169MaRDI QIDQ1696888
Yakup Yıldırım, Emrullah Yaşar
Publication date: 15 February 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-3749-x
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries, invariants, etc. in context of PDEs (35B06)
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Lie symmetry analysis, analytical solutions and conservation laws to the coupled time fractional variant Boussinesq equations ⋮ Conservation laws, classical symmetries and exact solutions of a (1 + 1)-dimensional fifth-order integrable equation ⋮ Breather wave solutions and interaction solutions for two mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Bonopelchenko equations ⋮ Unnamed Item ⋮ A study on the (2+1)-dimensional first extended Calogero-Bogoyavlenskii-Schiff equation
Uses Software
Cites Work
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- \textit{PDEBellII}: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations
- Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified Korteweg-de Vries system
- Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms
- Exact solutions for nonlinear evolution equations using novel test function
- One method for finding exact solutions of nonlinear differential equations
- Symbolic computation of local symmetries of nonlinear and linear partial and ordinary 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
- Exact solitary waves of the Fisher equation
- Exp-function method for nonlinear wave equations
- A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
- Solutions and conservation laws of a (3+1)-dimensional Zakharov-Kuznetsov equation
- Some new exact wave solutions and conservation laws of potential Korteweg-de Vries equation
- The tanh method for traveling wave solutions of nonlinear equations
- Fractional solitary wave solutions of the nonlinear higher-order extended KdV equation in a stratified shear flow. I
- Conserved quantities and solutions of a \((2+1)\)-dimensional Hǎrǎgus-Courcelle-Il'ichev model
- Bäcklund transformations, Lax system, conservation laws and multisoliton solutions for Jimbo-Miwa equation with Bell-polynomials
- Exact solutions and conservation laws of a two-dimensional integrable generalization of the Kaup-Kupershmidt equation
- Simplest equation method to look for exact solutions of nonlinear differential equations
- A multiple exp-function method for nonlinear differential equations and its application
- The first-integral method to study the Burgers–Korteweg–de Vries equation
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- Solitary wave interaction for the extended BBM equation
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