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Complete integrability, gauge equivalence and Lax representation of inhomogeneous nonlinear evolution equations

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Publication:1326803
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DOI10.1007/BF01017073zbMath0802.35137MaRDI QIDQ1326803

Vladimir S. Gerdjikov

Publication date: 13 July 1994

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

nonlinear Schrödinger equationsHeisenberg ferromagnet


Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of magnetic materials (82D40)


Related Items

Perturbation theory for nearly integrable multicomponent nonlinear PDEs



Cites Work

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  • On the spectral theory of the integro-differential operator Lambda generating nonlinear evolution equations
  • Gauge covariant theory of the generating operator. I
  • An initial-boundary value problem for the nonlinear Schrödinger equation
  • Generalised Fourier transforms for the soliton equations. Gauge-covariant formulation
  • Lax pairs galore
  • C-integrable nonlinear partial differentiation equations. I
  • Nonlinear resonant scattering and plasma instability: an integrable model
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