A study of (3+1)-dimensional generalized Korteweg-de Vries- Zakharov-Kuznetsov equation via Lie symmetry approach
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DOI: 10.1016/j.rinp.2020.103197
Abstract: Abstract In this work, we analytically examine a (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation (gKdV-ZKe). Solutions of this equation, including a non-topological soliton, are obtained by Lie symmetry reductions and direct integration. Moreover, Kudryashov’s method is… read more here.
Keywords: generalized korteweg; dimensional generalized; korteweg vries; zakharov kuznetsov ... See more keywords
Rapidly oscillating solutions of a generalized Korteweg–de Vries equation
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DOI: 10.1134/s0965542517110082
Abstract: For a generalized Korteweg–de Vries equation, the existence of families of rapidly oscillating periodic solutions is proved and their asymptotic representation is found. The asymptotics of tori of different dimensions are examined. Formulas for solutions… read more here.
Keywords: generalized korteweg; solutions generalized; rapidly oscillating; korteweg vries ... See more keywords