Complete integrability of coupled KdV and NLS equations

DOI10.1007/BF00675104zbMath0711.35126MaRDI QIDQ923267

Sasanka Purkait, Pritha Mitra, A. Roy Chowdhury

Publication date: 1990

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationKorteweg-de Vries equationLax pairPainlevé analysis

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (2)

Multi-hump bright and dark solitons for the Schrödinger-Korteweg-de Vries coupled system ⋮ Bright and dark solitons in the unidirectional long wave limit for the energy transfer on anharmonic crystal lattices

Cites Work

• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• On classes of integrable systems and the Painlevé property

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