Some Special Rogue Waves in One Type of Variable Coefficient Nonlinear Schrödinger Equations
Yue Wu *
Nonlinear Science Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, P.R. China.
Jiuli Yin
Nonlinear Science Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, P.R. China.
Xingyu Feng
Nonlinear Science Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, P.R. China.
Qianqian Xing
Nonlinear Science Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, P.R. China.
Dan Li
Nonlinear Science Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, P.R. China.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Nonlinear schrodinger equation, similarity transformation, miura type transformation, rogue wave.