Nonlinear Schrodinger equation, Painleve test, Backlund transformation and solutions

DOI10.1088/0305-4470/17/15/002zbMath0573.35078OpenAlexW1994961702MaRDI QIDQ3692174

Willi-Hans Steeb, B. M. Spieker, M. Kloke

Publication date: 1984

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/17/15/002

zbMATH Keywords

Schrödinger equationBäcklund transformationsPainlevé testHirota bilinear formalismKadomtsev-Petviashvili and Heisenberg ferromagnetic equations

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Invariance and symmetry properties for PDEs on manifolds (58J70) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items (4)

ON INTEGRABILITY OF VARIABLE COEFFICIENT NONLINEAR SCHRÖDINGER EQUATIONS ⋮ On a Painlevé test of a coupled system of Boussinesq and Schrödinger equations ⋮ Singularity structure analysis and Hirota's bilinearisation of the coupled integrable dispersionless equations ⋮ Solitary wave solution for inhomogeneous nonlinear Schrödinger system with loss/gain

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