Superposition in nonlinear wave and evolution equations. (English) Zbl 1101.81054
Summary: Real and bounded elliptic solutions suitable for applying the Khare-Sukhatme superposition procedure are presented and used to generate superposition solutions of the generalized modified Kadomtsev-Petviashvili equation (gmKPE) and the nonlinear cubic-quintic Schrödinger equation (NLCQSE)
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 81P05 | General and philosophical questions in quantum theory |
Software:
PDESpecialSolutionsReferences:
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