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On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
(2006-12-01)
Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions ...
On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
(2006-12-01)
Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions ...
Modified Korteweg-de Vries hierarchy with hodograph transformation: Camassa-Holm and Harry-Dym hierarchies
(Elsevier B.V., 2001-03-15)
In this paper, we present relations between Camassa-Holm (CH), Harry-Dym (HD) and modified Korteweg-de Vries (mKdV) hierarchies, which are given by the hodograph type transformation. (C) 2001 IMACS. Published by Elsevier ...
Modified Korteweg-de Vries hierarchy with hodograph transformation: Camassa-Holm and Harry-Dym hierarchies
(Elsevier B.V., 2001-03-15)
In this paper, we present relations between Camassa-Holm (CH), Harry-Dym (HD) and modified Korteweg-de Vries (mKdV) hierarchies, which are given by the hodograph type transformation. (C) 2001 IMACS. Published by Elsevier ...
Sobre uma família de equações de evolução não lineares : existência, classificação e instabilidade de soluções ondas viajantes
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2018-03-26)
This thesis is concerned with the orbital instability for a specific class of periodic traveling wave solutions with the mean zero related to the modified Camassa-Holm equation. These solutions, called snoidal waves, are ...
Camassa-Holm equation: transformation to deformed sinh-Gordon equations, cuspon and soliton solutions
(Iop Publishing Ltd, 1999-06-25)
In this paper a relation between the Camassa-Holm equation and the non-local deformations of the sinh-Gordon equation is used to study some properties of the former equation. We will show that cuspon and soliton solutions ...
On the integrable perturbations of the Camassa-Holm equation
(2000-05-01)
We present an investigation of the nonlinear partial differential equations (PDE) which are asymptotically representable as a linear combination of the equations from the Camassa-Holm hierarchy. For this purpose we use the ...
Two-dimensional integrable generalization of the Camassa-Holm equation
(1999-12-01)
In this letter we discuss the (2 + 1)-dimensional generalization of the Camassa-Holm equation. We require that this generalization be, at the same time, integrable and physically derivable under the same asymptotic analysis ...