new analytical method based on Riccati equation for finding Soliton solutions of Nonlinear Lakshmanan-Porsezian-Daniel (LPD) equation

Subject Areas : Statistics

A. Nirmeh ¹

1 - Department of Pure Mathematics, Ghonbad Kaboos university, iran

Received: 2018-01-03 Accepted : 2018-12-19 Published : 2019-02-20

Keywords: معادله غیرخطی لاکشمینن-پوسیزین, روش معادله ریکاتی, امواج سالیتونی, جواب تحلیلی,

Abstract :

In this present study analytical method based on Riccati Equation as for converting the Nonlinear Lakshmanan-Porsezian-Daniel (LPD) equation into the nonlinear ODE and finding soliton solutions of this sustem discused. Obtaining solutions are new and obtained from wave transformation. The obtained results show thatthe presented method is effective and appropriate for solving nonlinear differential equations.

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