New soliton solutions of the generalized Zakharov equations using He's variational approach
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Publication:2430058
DOI10.1016/j.aml.2011.01.006zbMath1211.35071OpenAlexW2055108416MaRDI QIDQ2430058
Yasir Khan, Ahmet Yildirim, Naeem Faraz
Publication date: 5 April 2011
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2011.01.006
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Cites Work
- Unnamed Item
- A constrained variational principle for heat conduction
- Application of He's semi-inverse method to the nonlinear Schrödinger equation
- Variational approach to solitary wave solution of the generalized Zakharov equation
- The extended hyperbolic functions method and new exact solutions to the Zakharov equations
- Exp-function method for nonlinear wave equations
- He's variational method for the Benjamin-Bona-Mahony equation and the Kawahara equation
- Variational approach to the Benjamin Ono equation
- Variational principles for some nonlinear partial differential equations with variable coefficients
- Exact and numerical solitary wave solutions of generalized Zakharov equation by the variational iteration method
- Application of homotopy perturbation method to nonlinear wave equations
- Construction of solitary solution and compacton-like solution by variational iteration method
- AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
- Oblique Interactions between Internal Solitary Waves
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
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