A Synthetical Two-Component Model with Peakon Solutions
نویسندگان
چکیده
منابع مشابه
A Synthetical Two-Component Model with Peakon Solutions
A generalized two-component model with peakon solutions is proposed in this paper. It allows an arbitrary function to be involved in as well as including some existing integrable peakon equations as special reductions. The generalized two-component system is shown to possess Lax pair and infinitely many conservation laws. Bi-Hamiltonian structures and peakon interactions are discussed in detail...
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We consider a new partial differential equation, of a similar form to the Camassa-Holm shallow water wave equation, which was recently obtained by Degasperis and Procesi using the method of asymptotic integrability. We prove the exact integrability of the new equation by constructing its Lax pair, and we explain its connection with a negative flow in the Kaup-Kupershmidt hierarchy via a recipro...
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In this paper, the peakons of a generalized CH-KP equation are studied by using bifurcation and simulation methods. The representations of peakons are given, and their planar graphs are showed. These results are supplement to investigate CH-KP equation.
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This paper discusses several algorithmic ways of constructing integrable evolution equations based on Lie algebraic structure. We derive, in a pedagogical style, a large class of two component peakon type dual systems from their two component soliton equations counter part. We study the essential aspects of Hamiltonian flows on coadjoint orbits of the centrally extended semidirect product group...
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The purpose of this paper is to study the dynamics of the interaction among a special class of solutions of the one-dimensional Camassa-Holm equation. The equation yields soliton solutions whose identity is preserved through nonlinear interactions. These solutions are characterized by a discontinuity at the peak in the wave shape and are thus called peakon solutions. We apply a particle method ...
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ژورنال
عنوان ژورنال: Studies in Applied Mathematics
سال: 2015
ISSN: 0022-2526
DOI: 10.1111/sapm.12085