Lump solutions to the ($$\mathbf 2+1 $$2+1)-dimensional Sawada–Kotera equation
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DOI: 10.1007/s11071-016-3190-6
Abstract: In this paper, via generalized bilinear forms, we consider the ($$2+1$$2+1)-dimensional bilinear p-Sawada–Kotera (SK) equation. We derive analytical rational solutions in terms of positive quadratic functions. Through applying the dependent transformation, we present a class… read more here.
Keywords: sawada kotera; lump; lump solutions; equation ... See more keywords
Interaction behaviors for the ($$\varvec{2+1}$$2+1)-dimensional Sawada–Kotera equation
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DOI: 10.1007/s11071-018-4223-0
Abstract: In this work, in this paper, we mainly study two kinds of interaction solutions of the ($$2+1$$2+1)-dimensional Sawada–Kotera equation, one of which is the interaction solution between rational function and trigonometric function, including $$\cos $$cos… read more here.
Keywords: sawada kotera; dimensional sawada; interaction; function ... See more keywords
Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications
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DOI: 10.1080/14029251.2018.1494779
Abstract: In this paper, we construct a Darboux transformation and the related Bäcklund transformation for the super-symmetric Sawada-Kotera (SSK) equation. The associated nonlinear superposition formula is also worked out. We demonstrate that these are natural extensions… read more here.
Keywords: sawada kotera; darboux; cklund; supersymmetric sawada ... See more keywords
Solitons and breather waves for a (2+1)-dimensional Sawada–Kotera equation
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DOI: 10.1142/s0217984917501299
Abstract: Under investigation in this letter is a (2+1)-dimensional Sawada-Kotera equation. With the aid of the bilinear forms derived from the Bell polynomials, the Nth-order soliton solutions are obtained via the Pffafian method, and breather solutions… read more here.
Keywords: sawada kotera; dimensional sawada; kotera equation;