Some Special Rogue Waves in One Type of Variable Coefficient Nonlinear Schrödinger Equations
Yue Wu, Jiuli Yin, Xingyu Feng, Qianqian Xing, Dan Li
Journal of Advances in Mathematics and Computer Science · pp. 3489–3496 · Published 6 Oct 2014
10.9734/BJMCS/2014/12685Abstract
In this paper, a similarity transformation is devised to construct a Miura type transformations between one type of variable coefficient nonlinear Schrodinger equations and the cubic NLS equation. This transformation is devoted to obtain the travelling wave solutions of a complicated equation by using the solutions of a simpler equation directly. The result shows different rogue wave solutions of the variable coefficient nonlinear Schrodinger equations are given easily.
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