Equivalence groupoids and group classification of multidimensional nonlinear Schrödinger equations

Author:

Kurujyibwami Célestin,Popovych Roman O.ORCID

Funder

Eastern Africa Universities Mathematics Programme

Austrian Science Fund

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference69 articles.

1. Group-invariant solutions of semilinear Schrödinger equations in multi-dimensions;Anco;J. Math. Phys.,2013

2. Exact solutions of semilinear radial Schrödinger equations by separation of group foliation variables;Anco;J. Math. Anal. Appl.,2015

3. Lie transformations, similarity reduction, and solutions for the nonlinear Madelung fluid equations with external potential;Baumann;J. Math. Phys.,1987

4. Lie symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities;Belmonte-Beitia;Discrete Contin. Dyn. Syst., Ser. B,2008

5. Solutions of the logarithmic Schrödinger equation in a rotating harmonic trap;Białynicki-Birula,2004

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