A simple-looking relative of the Novikov, Hirota-Satsuma and Sawada-Kotera equations
نویسندگان
چکیده
منابع مشابه
A supersymmetric Sawada-Kotera equation
A new supersymmetric equation is proposed for the Sawada-Kotera equation. The integrability of this equation is shown by the existence of Lax representation and infinite conserved quantities and a recursion operator. PACS: 02.30.Ik; 05.45.Yv
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Extending the gauge-invariance principle for τ functions of the standard bilinear formalism to the supersymmetric case, we define N=1 supersymmetric Hirota operators. Using them, we bilinearize SUSY KdV-type equations (KdV, Sawada-Kotera-Ramani, Hirota-Satsuma). The solutions for multiple collisions of super-solitons and extension to SUSY sine-Gordon are also discussed.
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In this paper, the Sawada-Kotera equation is solved by using the Adomian’s decomposition method, modified Adomian’s decomposition method, variational iteration method, modified variational iteration method, homotopy perturbation method, modified homotopy perturbation method and homotopy analysis method. The approximate solution of this equation is calculated in the form of series which its comp...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2019
ISSN: 1776-0852
DOI: 10.1080/14029251.2019.1640465