Integrable generalization of the associated Camassa-Holm equation

DOI10.1016/j.physleta.2013.11.029zbMath1331.37093OpenAlexW2152332593MaRDI QIDQ5964480

No author found.

Publication date: 29 February 2016

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2013.11.029

zbMATH Keywords

conservation lawDarboux transformationBäcklund transformationACH-KdV equation

Mathematics Subject Classification ID

Related Items (3)

Multiple soliton solutions for a new generalization of the associated Camassa-Holm equation by exp-function method ⋮ New bilinearization, Bäcklund transformation and infinite conservation laws for the KdV6 equation with Bell polynomials ⋮ A view of the peakon world through the lens of approximation theory

Cites Work

• Unnamed Item
• New exact solutions and Bäcklund transformation for Boiti-Leon-Manna-Pempinelli equation
• A bilinear Bäcklund transformation of a \((3+1)\)-dimensional generalized KP equation
• Soliton equations and simple combinatorics
• Conformal properties and Bäcklund transform for the associated Camassa-Holm equation
• On the inverse spectral problem for the Camassa-Holm equation
• The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
• Multipeakons and the classical moment problem
• The Camassa-Holm equation: a loop group approach
• Exponential polynomials
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• The Camassa Holm equation: Conserved quantities and the initial value problem
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• Classical Darboux transformations and the KP hierarchy
• On the scattering problem for the Camassa-Holm equation
• The quasi-periodic solutions of mixed KdV equations
• Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations
• Smooth and peaked solitons of the CH equation
• On the combinatorics of the HirotaD-operators
• Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A new integrable equation with cuspons and W/M-shape-peaks solitons
• Mixed hierarchy of soliton equations
• Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
• On the geometry of an integrable (2+1)–dimensional sine–Gordon system
• Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
• Nonisospectral negative Volterra flows and mixed Volterra flows: Lax pairs, infinitely many conservation laws and integrable time discretization
• An integrable shallow water equation with peaked solitons
• A wave equation in 2+1: Painleve analysis and solutions
• Hierarchy of negative order equation and its Lax pair
• The associated Camassa-Holm equation and the KdV equation
• The string density problem and the Camassa–Holm equation
• On the Camassa–Holm equation and a direct method of solution. III. N -soliton solutions
• On the initial value problem for a completely integrable shallow water wave equation

This page was built for publication: Integrable generalization of the associated Camassa-Holm equation