Journal of Applied Nonlinear Dynamics
Soliton Solutions of the LongShort Wave Equation with Power Law Nonlinearity
Journal of Applied Nonlinear Dynamics 1(2) (2012) 125140  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 199012277, USA
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Abstract
This paper studies the generalized longshort 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 1soliton solution or shock wave solution. The ansatz method and the semiinverse variational principle leads to the nontopological 1soliton 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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