Hamiltonian structures of nonlinear evolution equations connected with a polynomial pencil

DOI10.1007/BF01095101zbMath0597.35112MaRDI QIDQ1078775

I. T. Gadzhiev, Maxim I. Ivanov, Vladimir S. Gerdjikov

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

RiemannHamiltonian approachintegrabilitynonlinear evolution equationssupersymmetric sine-Gordon modelHamiltonian structuresinverse scattering problemproblemgeneralized Zakharov-Shabat systemGrassmann's Thirring modelpolynomial pencil

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (S)-matrix theory, etc. in quantum theory (81U20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Recursion operators and hierarchies of mKdV equations related to the Kac-Moody algebras \(D_4^{(1)}\), \(D_4^{(2)}\), and \(D_4^{(3)}\)

Cites Work

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