Analytical solutions and rogue waves in （3＋1）-dimensional nonlinear SchrSdinger equation  

出　　处：《Chinese Physics B》2012年第3期138-144,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant No. 10772110） and the Natural Science Foundation of Zhejiang Province, China （Grant Nos. Y606049, Y6090681, and Y6100257）.

摘　　要：Analytical solutions in terms of rational-like functions are presented for a （3＋1）-dimensional nonlinear Schrodinger equation with time-varying coefficients and a harmonica potential using the similarity transformation and a direct ansatz. Several free functions of time t are involved to generate abundant wave structures. Three types of elementary functions are chosen to exhibit the corresponding nonlinear rogue wave propagations.Analytical solutions in terms of rational-like functions are presented for a （3＋1）-dimensional nonlinear Schrodinger equation with time-varying coefficients and a harmonica potential using the similarity transformation and a direct ansatz. Several free functions of time t are involved to generate abundant wave structures. Three types of elementary functions are chosen to exhibit the corresponding nonlinear rogue wave propagations.

关 键 词：nonlinear SchrSdinger equation similarity transformation rational-like solution rogue wave 

分 类 号：O175[理学—数学] P641.2[理学—基础数学]