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Nonlinear Schrödinger-type equations from multiscale reduction of PDEs. II. Necessary conditions of integrability for real PDEs

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Publication:2774922
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DOI10.1063/1.1366296zbMath1061.35127OpenAlexW1976783529MaRDI QIDQ2774922

Francesco Calogero, Xiaoda Ji, Antonio Degasperis

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1366296



Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)


Related Items

Localized excitations with periodic and chaotic behaviors in \((1+1)\)-dimensional Korteweg-de Vries type system ⋮ Peakon, compacton and loop excitations with periodic behavior in KdV type models related to Schrödinger system ⋮ Multiscale Expansion and Integrability of Dispersive Wave Equations



Cites Work

  • To the integrability of the system of two coupled nonlinear Schrödinger equations
  • Nonlinear Schrödinger-type equations from multiscale reduction of PDEs. I. Systematic derivation
  • Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
  • The evolution partial differential equation u t=u x x x+3(u x x u2 +3u2x u)+3u x u4
  • C-integrable nonlinear PDEs. IV
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