Soliton solutions and symmetries of the \(2+1\) dimensional Kaup-Kupershmidt equation

DOI10.1016/S0375-9601(99)00683-0zbMath0983.37092OpenAlexW1967260474WikidataQ127147802 ScholiaQ127147802MaRDI QIDQ1967044

Dao-Liu Wang, Xing-Biao Hu, Xian-Min Qian

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00683-0

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 theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (13)

Pfaffianization of the two-dimensional Toda lattice ⋮ Symmetry analysis and interaction solutions for the (\(2 + 1\))-dimensional Kaup-Kupershmidt system ⋮ New insights into singularity analysis ⋮ Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics ⋮ Explicit solutions to the coupled KdV equations with variable coefficients ⋮ Solutions with functional parameters of \(2+1\)-dimensional integrable nonlinear equations. Two dimensional integrable generalization of the Kaup-Kupershmidt equation ⋮ Rational solutions of the (2+1)-dimensional Kaup-Kupershmidt equation ⋮ The construction of exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via \(\overline \partial\)-dressing method ⋮ Two integrable differential-difference equations exhibiting soliton solutions of the Kaup-Kupershmidt equation type ⋮ Lie symmetries of soliton equations with self-consistent sources via source generation procedure ⋮ MULTI-SOLITON SOLUTIONS AND THEIR INTERACTIONS FOR THE (2+1)-DIMENSIONAL SAWADA-KOTERA MODEL WITH TRUNCATED PAINLEVÉ EXPANSION, HIROTA BILINEAR METHOD AND SYMBOLIC COMPUTATION ⋮ PDEPtest: a package for the Painlevé test of nonlinear partial differential equations ⋮ Local and global existence of solutions of initial value problems of nonlinear Kaup-Kupershmidt equations

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symbolic methods to construct exact solutions of nonlinear partial differential equations
• Solitons and infinite dimensional Lie algebras
• Bilinear transformation method
• The generalized symmetry algebra of the bilinear Kadomtsev-Petviashvili equation
• On classes of integrable systems and the Painlevé property
• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
• Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
• Symmetries and Integrability
• On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψ_xxx + 6Qψ_x + 6R_ψ = λψ
• Lie symmetries of Hirota’s bilinear equations
• Evolution equations possessing infinitely many symmetries
• Third order spectral problems: reductions and Darboux transformations
• Nonclassical analysis and Painleve property for the Kupershmidt equations
• On reciprocal properties of the Caudrey-Dodd-Gibbon and Kaup-Kupershmidt hierarchies
• Generalized symmetries and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">w</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>algebras in three-dimensional Toda field theory
• Bäcklund transformation of partial differential equations from the Painlevé–Gambier classification. I. Kaup–Kupershmidt equation
• On reduced CKP equations
• The Crum transformation for a third-order scattering problem
• Symmetries and differential equations

This page was built for publication: Soliton solutions and symmetries of the \(2+1\) dimensional Kaup-Kupershmidt equation