J4 ›› 2016, Vol. 33 ›› Issue (3): 263-278.

• Quantum Physics • Previous Articles     Next Articles

Finite symmetry group solutions to a generalized variable coefficients (3+1)-dimensional nonlinear Schr\"{o}ding equation

  

  • Received:2015-08-06 Revised:2015-11-14 Published:2016-05-28 Online:2016-05-27

Abstract: In this paper, on the basis of the extending symmetry group approach and symbolic computation, some finite symmetry group solutions of the nonlinear Schr\"{o}dinger (NLS) equations with various variable coefficients are investigated. We construct some symmetry transformations between the standard (3+1)-dimensional NLS equation and (3+1)-dimensional NLS equations with distributed dispersion,nonlinearity and gain or loss. By using these symmetry transformations, rich exact solutions of some (3+1)-dimensional variable coefficients NLS equations are obtained from the standard (3+1)-dimensional NLS equation.

Key words: symbolic

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