TRAVELING WAVE SOLUTIONS TO THE HYPERELASTIC ROD EQUATION
نویسندگان
چکیده
منابع مشابه
Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation
We consider a generalized hyperelastic-rod wave equation (or generalized Camassa– Holm equation) describing nonlinear dispersive waves in compressible hyperelastic rods. We establish existence of a strongly continuous semigroup of global weak solutions for any initial data from H1(R). We also present a “weak equals strong”uniqueness result.
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We consider a weakly dissipative hyperelastic-rod wave equation (or weakly dissipative Camassa–Holm equation) describing nonlinear dispersive dissipative waves in compressible hyperelastic rods. By fixed a smooth solution, we establish the existence of a strongly continuous semigroup of global weak solutions for any initial perturbation from H1(R). In particular, the supersonic solitary shock w...
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In this paper, we are concerned with the generalized Boussinesq equation including the singularly sixth-order Boussinesq equation, which describes the bi-directional propagation of small amplitude and long capillary-gravity waves on the surface of shallow water for bond number less than but very close to 1/3. By the means of two proper ansatzs, we obtain explicit traveling solitary wave solutio...
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Article history: Received 21 December 2013 Received in revised form 19 April 2014 Accepted 23 April 2014 Available online 14 May 2014 Communicated by C.R. Doering
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ژورنال
عنوان ژورنال: Journal of applied mathematics & informatics
سال: 2015
ISSN: 1598-5857
DOI: 10.14317/jami.2015.261