Bäcklund transformations of multi-component Boussinesq and Degasperis-Procesi equations

DOI10.1142/S021988782450066XzbMATH Open1546.37117MaRDI QIDQ6541223

Chuanzhong Li, Haifeng Wang, Lixiang Zhang

Publication date: 17 May 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

conservation lawsBäcklund transformationlattice equation\(Z_n\)-Degasperis-Procesi equationFrobenius-Boussinesq equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• Title not available (Why is that?)
• The extended \(Z_N\)-Toda hierarchy
• Multi-component integrable systems and invariant curve flows in certain geometries
• Bäcklund transformations for the Camassa-Holm equation
• Rational solutions of the classical Boussinesq system
• Unfamiliar aspects of Bäcklund transformations and an associated Degasperis-Procesi equation
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• On Frobeniusean algebras. I.
• Integrability of the Frobenius algebra-valued Kadomtsev-Petviashvili hierarchy
• New similarity reductions of the Boussinesq equation
• Bäcklund transformations for integrable lattice equations
• The Painlevé property and Bäcklund transformations for the sequence of Boussinesq equations
• The Gardner method for symmetries
• Affine Weyl group symmetries of Frobenius Painlevé equations
• Bäcklund transformations for the Boussinesq equation and merging solitons
• RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION

Related Items (1)

Breathers and interaction phenomena on the non-constant backgrounds for a (3+1)-dimensional generalized shallow water wave equation with variable coefficients

This page was built for publication: Bäcklund transformations of multi-component Boussinesq and Degasperis-Procesi equations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6541223)