The inverse scattering method in an invariant form with respect to internal symmetry algebra representations

DOI10.1007/BF00418109zbMath0557.35118MaRDI QIDQ762377

A. N. Leznov

Publication date: 1984

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

solitonsine-Gordon equationinverse scattering methodinternal symmetry spectrumLax pair operators

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems for PDEs (35R30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

Nonlinear equations and graded Lie algebras

Cites Work

• Graded algebras of the second rank and integration of nonlinear equations \(Y_{zz}=\exp(2Y)-\exp(-2Y)\), \(Y_{zz}=2\exp(Y)-\exp(-2Y)\)

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