Solitons and other solutions to a new coupled nonlinear Schrodinger type equation

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• 作者：Shoukry El-Ganaini ; ^{shoukryelganaini@yahoo.com}
• 关键词：Solitons ; Travelling wave ; First integral method ; Semi-inverse variational method ; Liu's theorem ; A new coupled nonlinear Schrodinger type equation
• 刊名：Journal of the Egyptian Mathematical Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：25
• 期：1
• 页码：19-27
• 全文大小：2009 K
• 卷排序：25

文摘

In this paper, the first integral method combined with Liu's theorem is applied to integrate a new coupled nonlinear Schrodinger type equation. Using this combination, more new exact traveling wave solutions are obtained for the considered equation using ideas from the theory of commutative algebra. In addition, more solutions are also obtained via the application of semi-inverse variational principle due to Ji-Huan He. The used approaches with the help of symbolic computations via Mathematica 9, may provide a straightforward effective and powerful mathematical tools for solving nonlinear partial differential equations in mathematical physics.