Compacton solutions in a class of generalized fifth-order Korteweg–de Vries equations
نویسندگان
چکیده
منابع مشابه
Compacton solutions in a class of generalized fifth-order Korteweg-de Vries equations.
Solitons play a fundamental role in the evolution of general initial data for quasilinear dispersive partial differential equations, such as the Korteweg-de Vries (KdV), nonlinear Schrödinger, and the Kadomtsev-Petviashvili equations. These integrable equations have linear dispersion and the solitons have infinite support. We have derived and investigate a new KdV-like Hamiltonian partial diffe...
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For a < 0 one obtains solitary patterns having cusps or infinite slopes [2]. They discovered solitary waves, called compactons, with a compact support characterized by the absence of infinite wings or the absence of infinite tails. If a = 1, then (1) has a focusing (+) branch that exhibits compacton solutions. If a = −1, then (1) has a defocusing (−) branch that exhibits solitary pattern soluti...
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A new computational method for solving the fifth order Korteweg-de Vries (fKdV) equation is proposed. The nonlinear partial differential equation is discretized in space using the discrete singular convolution (DSC) scheme and an exponential time integration scheme combined with the best rational approximations based on the Carathéodory-Fejér procedure for time discretization. We check several ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2001
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.64.026608