Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method
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Publication:552771
DOI10.1016/j.physleta.2007.08.059zbMath1217.35152OpenAlexW2119877688MaRDI QIDQ552771
Publication date: 26 July 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2007.08.059
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Cites Work
- The tanh-coth and the sech methods for exact solutions of the Jaulent-Miodek equation
- Exp-function method for nonlinear wave equations
- Decomposition to the modified Jaulent-Miodek hierarchy
- Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM
- Nonlinear evolution equations associated with energy-dependent Schrödinger potentials
- A numerical method for solving Jaulent-Miodek equation
- Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- Homotopy perturbation method for bifurcation of nonlinear problems
- Application of variational iteration method to nonlinear differential equations of fractional order
- The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations
- He's homotopy perturbation method for calculating Adomian polynomials
- Exact solutions for the cubic-quintic nonlinear Schrödinger equation
- The subsidiary elliptic-like equation and the exact solutions of the higher-order nonlinear Schrödinger equation
- Nonlinear Schrödinger equations and \(N = 1\) superconformal algebra
- Construction of solitary solution and compacton-like solution by variational iteration method
- New periodic solutions for nonlinear evolution equations using Exp-function method
- The finite-band solution of the Jaulent–Miodek equation
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