Symmetry Reduction and Soliton-Like Solutions for the Generalized Korteweg-De Vries Equation
Sign Up to like & getrecommendations! Published in 2018 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080218090366
Abstract: We analyze the gKdV equation, a generalized version of Korteweg-de Vries with an arbitrary function f(u). In general, for a function f(u) the Lie algebra of symmetries of gKdV is the 2-dimensional Lie algebra of… read more here.
Keywords: soliton like; like solutions; korteweg vries; lie algebra ... See more keywords
Generation of random soliton-like beams in a nonlinear fractional Schrödinger equation.
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DOI: 10.1364/oe.448972
Abstract: We investigate the generation of random soliton-like beams based on the Kuznetsov-Ma solitons in a nonlinear fractional Schrödinger equation (NLFSE). For Lévy index α = 1, the Kuznetsov-Ma solitons split into two nondiffracting beams during propagation in… read more here.
Keywords: soliton; like beams; kuznetsov solitons; soliton like ... See more keywords