The negative extended KdV equation with self-consistent sources: soliton, positon and negaton

DOI10.1016/j.cnsns.2007.05.025zbMath1221.35377OpenAlexW2036640200MaRDI QIDQ718793

Yunbo Zeng, Hongxia Wu, Tian-You Fan

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.05.025

zbMATH Keywords

solitonpositonnegatongeneralized binary DT

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (4)

Dynamics of the Smooth Positons of the Wadati-Konno-Ichikawa Equation* ⋮ Solving soliton equations with self-consistent sources by method of variation of parameters ⋮ The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform ⋮ A new multicomponent CKP hierarchy and solutions

Cites Work

• Interactions of breathers and solitons in the extended Korteweg-de Vries equation
• The higher-order KdV equation with a source and nonlinear superposition formula.
• Capture and confinement of solitons in nonlinear integrable systems
• Positons: Slowly decreasing analogues of solitons
• The \(N\)-soliton solutions of some soliton equations with self-consistent sources
• Interaction of solitary waves in the system described by the Kadomtsev- Petviashvili equation with a self-consistent source
• Nonlinear evolutions with singular dispersion laws associated with a quadratic bundle
• Modified Manakov system with self-consistent source.
• Structural transformation of eigenvalues for a perturbed algebraic soliton potential.
• Integration of the soliton hierarchy with self-consistent sources
• Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
• Positon solutions of the sine-Gordon equation
• Integration of the Korteweg-de Vries equation with a source
• Solution of an initial-boundary value problem for coupled nonlinear waves
• Construction of dKP and BKP equations with self-consistent sources
• New method for deriving nonlinear integrable systems
• Integration of the nonlinear Schrodinger equation with a source
• Positons of the modified Korteweg de Vries equation
• Negaton and positon solutions of the KdV and mKdV hierarchy
• The solutions of the NLS equations with self-consistent sources
• The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy
• Wave group dynamics in weakly nonlinear long-wave models

This page was built for publication: The negative extended KdV equation with self-consistent sources: soliton, positon and negaton