Two-component Analogue of Two-dimensional Long Wave-Short Wave Resonance Interaction Equations: A Derivation and Solutions

Abstract

The two-component analogue of two-dimensional long wave-short wave resonance interaction equations is derived in a physical setting. Wronskian solutions of the integrable two-component analogue of two-dimensional long wave-short wave resonance interaction equations are presented.

16 pages, 9 figures, revised version; The pdf file including all figures: http://www.math.utpa.edu/kmaruno/yajima.pdf

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• Inelastic Collision and Switching of Coupled Bright Solitons in Optical Fibers
• The $n$-component KP hierarchy and representation theory
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Cited by in corpus (12)

• Three-component soliton states in spinor $F=1$ Bose-Einstein condensates
• Multicomponent long-wave--short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons
• General multicomponent Yajima-Oikawa system: Painlevé analysis, soliton solutions, and energy-sharing collisions
• Dynamics of nondegenerate solitons in long-wave short-wave resonance interaction system
• Higher dimensional bright solitons and their collisions in multicomponent long wave-short wave system
• Collision of Multimode Dromions and a Firewall in the Two Component Long Wave Short Wave Resonance Interaction Equation
• Multi-dark soliton solutions of the two-dimensional multi-component Yajima-Oikawa systems
• Self-Consistent Sources for Integrable Equations via Deformations of Binary Darboux Transformations
• Elliptic Waves in Two Component Long Wave--Short Wave Resonance Interaction System in One and Two dimensions
• New type of rogue waves
• Dynamics of solitons in multicomponent long wave-short wave resonance interaction system
• Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approach