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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email:

Soliton Solutions of the Long-Short Wave Equation with Power Law Nonlinearity

Journal of Applied Nonlinear Dynamics 1(2) (2012) 125--140 | DOI:10.5890/JAND.2012.05.002

Manel Labidi $^{1}$, Houria Triki $^{2}$, E.V. Krishnan $^{3}$, Anjan Biswas $^{4}$

$^{1}$ Laboratory of Engineering Mathematics, Tunisia Polytechnic School, University of 7th November at Carthage, BP 743, La Marsa 2070, TUNISIA

$^{2}$ Radiation Physics Laboratory, Department of Physics, Badji Mokhtar University, 2300 Anaba, ALGERIA

$^{3}$ Department of Mathematics and Statistics, Sultan Qaboos University, P. O. Box 36, Al Khod 123, Muscat, OMAN

$^{4}$ Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA

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This paper studies the generalized long-short wave equation with power law nonlinearity. There are several approaches that are used to solve this coupled system nonlinear evolution equations. The series solution approach yields the topological 1-soliton solution or shock wave solution. The ansatz method and the semiinverse variational principle leads to the non-topological 1-soliton of the equation. Additionally, the variational iteration method is used to study the equation. Finally, numerical simulations are also given to this equation.


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