Geometric approach on the global conservative solutions of the Camassa–Holm equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2019.04.003
Abstract: Abstract In this paper we construct global weak conservative solutions of the Camassa–Holm (CH) equation on the periodic domain. We first express the equation in Lagrangian flow variable η and then transform it using the… read more here.
Keywords: camassa holm; solutions camassa; holm equation; conservative solutions ... See more keywords
Stumpons are non-conservative traveling waves of the Camassa–Holm equation
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DOI: 10.1016/j.physd.2022.133196
Abstract: It is well-known that by requiring solutions of the Camassa–Holm equation to satisfy a particular local conservation law for the energy in the weak sense, one obtains what is known as conservative solutions. As conservative… read more here.
Keywords: stumpons non; traveling waves; camassa holm; holm equation ... See more keywords
Globally conservative solutions for the modified Camassa–Holm (MOCH) equation
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DOI: 10.1063/5.0048245
Abstract: In this paper, we present the globally conservative solutions to the Cauchy problem for the modified Camassa–Holm (MOCH) equation. First, we transform the equation into an equivalent semi-linear system under new variables. Second, according to… read more here.
Keywords: modified camassa; camassa holm; conservative solutions; globally conservative ... See more keywords