Analytical Solitary Wave Solutions to a (3+1)-Dimensional Gross-Pitaevskii Equation with Variable Coefficients |
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| Authors: | GAO Yuan and LOU Sen-Yue |
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| Affiliation: | 1.Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China;2.Faculty of Science, Ningbo University, Ningbo 315211, China;3.School of Mathematics, Fudan University, Shanghai 200433, China |
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| Abstract: | ![]()
A (3+1)-dimensional Gross-Pitaevskii (GP) equation with time variable coefficients is considered, and is transformed into a standard nonlinear Schrödinger (NLS) equation. Exact solutions of the (3+1)D GP equation are constructed via those of the NLS equation. By applying specific time-modulated nonlinearities, dispersions, and potentials, the dynamics of the solutions can be controlled. Solitary and periodic wave solutions with snaking and breathing behavior are reported. |
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| Keywords: | Gross-Pitaevskii equation exact solution solitary wave inhomogeneous nonlinearity |
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