Group classification of (1+1)-dimensional Schrödinger equations with potentials and power nonlinearities
نویسندگان
چکیده
منابع مشابه
Group classification of (1+1)-Dimensional Schrödinger Equations with Potentials and Power Nonlinearities
We perform the complete group classification in the class of nonlinear Schrödinger equations of the form iψt+ψxx+|ψ|ψ+V (t, x)ψ = 0 where V is an arbitrary complex-valued potential depending on t and x, γ is a real non-zero constant. We construct all the possible inequivalent potentials for which these equations have non-trivial Lie symmetries using a combination of algebraic and compatibility ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2004
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1765748