Novel interactions between solitons of the \((2+1)\)-dimensional dispersive long wave equation

DOI10.1016/j.chaos.2006.08.041zbMath1155.35423OpenAlexW2017585798MaRDI QIDQ929142

Yongzhou Ni, Chao-Qing Dai

Publication date: 12 June 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.08.041

zbMATH Keywords

variable separation solutionsRiccati methoddispersive wave equationsolitons interactions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (4)

Novel soliton interaction behaviours in the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system ⋮ Fission and fusion interaction phenomena of the \((2+1)\)-dimensional dispersive long wave equations ⋮ Special solitonic localized structures for the \((3 + 1)\)-dimensional Burgers equation in water waves ⋮ Explicit exact solutions for the (2 + 1)-dimensional Konopelchenko-Dubrovsky equation

Cites Work

• New exact solutions to the mKdV equation with variable coefficients
• Variable-coefficient projective Riccati equation method and its application to a new (2 + 1)-dimensional simplified generalized Broer-Kaup system
• New variable separation excitations of \((2+1)\)-dimensional dispersive long-water wave system obtained by an extended mapping approach
• Group theoretical analysis of dispersive long wave equations in two space dimensions
• Variable separation solutions for the \((2+1)\)-dimensional generalized Nizhnik-Novikov-Veselov equation
• Exotic localized structures based on variable separation solution of \((2+1)\)-dimensional KdV equation via the extended tanh-function method
• Novel types of interactions between solitons in the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system
• Novel variable separation solutions and exotic localized excitations via the ETM in nonlinear soliton systems
• On the integrability of systems of nonlinear ordinary differential equations with superposition principles
• Spectral transform for a two spatial dimension extension of the dispersive long wave equation
• Similarity solutions of dispersive long‐wave equations in two space dimensions
• Symmetries and algebras of the integrable dispersive long wave equations in (2+1)-dimensional spaces
• The two-singular-manifold method: I. Modified Korteweg-de Vries and sine-Gordon equations
• Modified extended tanh-function method for solving nonlinear partial differential equations

This page was built for publication: Novel interactions between solitons of the \((2+1)\)-dimensional dispersive long wave equation