Exact Solutions and Numerical Simulation of the Discrete Sawada–Kotera Equation

Autor:	Aleksandr Zemlyanukhin, Andrey Bochkarev
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	discrete sawada–kotera equation exact solution jacobi elliptic functions catalan numbers numerical simulation Mathematics QA1-939
Zdroj:	Symmetry, Vol 12, Iss 1, p 131 (2020)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym12010131
Popis:	We investigated an integrable five-point differential-difference equation called the discrete Sawada−Kotera equation. On the basis of the geometric series method, a new exact soliton-like solution of the equation is obtained that propagates with positive or negative phase velocity. In terms of the Jacobi elliptic function, a class of new exact periodic solutions is constructed, in particular stationary ones. Using an exponential generating function for Catalan numbers, Cauchy’s problem with the initial condition in the form of a step is solved. As a result of numerical simulation, the elasticity of the interaction of exact localized solutions is established.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/eedb4f70319e47f9b9e398e2d57d7d1b Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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