To the complete integrability of long-wave–short-wave interaction equations

DOI10.1063/1.527174zbMath0596.35111OpenAlexW1963640226MaRDI QIDQ3728531

Pranab K. Chanda, A. Roy Chowdhury

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527174

zbMATH Keywords

nonlinear partial differential equationscomplete integrabilityBäcklund transformationinteraction of long and short waves

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (9)

The coupled modified Yajima-Oikawa system: model derivation and soliton solutions ⋮ Rogue waves and breathers of the derivative Yajima-Oikawa long wave-short wave equations on theta-function backgrounds ⋮ On the complete integrability of the supersymmetric nonlinear Schrödinger equation ⋮ EXPLICIT EXACT PERIODIC WAVE SOLUTIONS AND THEIR LIMIT FORMS FOR A LONG WAVES-SHORT WAVES MODEL ⋮ A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions ⋮ General, symmetry non-preserving and preserving multiple soliton solutions of long wave-short wave resonant models ⋮ Riemann-Hilbert approach of the Newell-type long-wave-short-wave equation via the temporal-part spectral analysis ⋮ Painlevé test for long-wave, short-wave interaction equation. II ⋮ Cusp solitons to the long-short waves equation and the \(\bar{\partial}\)-dressing method

Cites Work

• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• The general structure of integrable evolution equations
• Long Waves—Short Waves; A Solvable Model

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