Partially invariant solutions of a class of nonlinear Schrodinger equations
- 21 August 1992
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 25 (16) , 4425-4435
- https://doi.org/10.1088/0305-4470/25/16/018
Abstract
Partially invariant solutions of a general class of nonlinear Schrodinger equations, involving four arbitrary functions of the modulus rho of the solution and its derivative rho x, are obtained. The modulus rho ( xi ) is assumed to depend on a symmetry variable xi , whereas the phase omega (x,t) depends on both independent variables. Both rho and omega are obtained explicitly, as are the conditions on the coefficients in the equation, necessary for such solutions to exist.Keywords
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