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Analytical solutions and rogue waves in (3+1)-dimensional nonlinear Schrödinger equation |
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| Authors: | Ma Zheng-Yi and Ma Song-Hua |
| Affiliation: | College of Mathematics and Physics, Zhejiang Lishui University, Lishui 323000, China;College of Mathematics and Physics, Zhejiang Lishui University, Lishui 323000, China |
| Abstract: | Analytical solutions in terms of rational-like functions are presented for a (3+1)-dimensional nonlinear Schrödinger 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. |
| Keywords: | nonlinear Schrödinger equation similarity transformation rational-like solution rogue wave |
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