Periodic-like solutions of variable coefficient and Wick-type stochastic NLS equations |
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Authors: | Bin Chen Yingchao Xie |
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Institution: | Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, PR China |
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Abstract: | Variable coefficient and Wick-type stochastic nonlinear Schrödinger (NLS) equations are investigated. By using white noise analysis, Hermite transform and extended F-expansion method, we obtain a number of Wick versions of periodic-like wave solutions and periodic wave solutions expressed by various Jacobi elliptic functions for Wick-type stochastic and variable coefficient NLS equations, respectively. In the limit cases, the soliton-like wave solutions are showed as well. Since Wick versions of functions are usually difficult to evaluate, we get some nonWick versions of the solutions for Wick-type stochastic NLS equations in special cases. |
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Keywords: | 60H30 60H15 35R60 |
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