On the wave solutions of time‐fractional Sawada‐Kotera‐Ito equation arising in shallow water
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DOI: 10.1002/mma.6763
Abstract: A widescale description of various phenomena in science and engineering such as physics, chemical, acoustics, control theory, finance, economics, mechanical engineering, civil engineering, and social sciences is well described by nonlinear fractional differential equations (NLFDEs).… read more here.
Keywords: fractional sawada; equation; time fractional; kotera ito ... See more keywords
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;
Rational solutions to two Sawada–Kotera-like equations
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DOI: 10.1142/s0217984919501082
Abstract: Two Sawada–Kotera-like equations are introduced by the generalized bilinear operators [Formula: see text] associated with two prime numbers [Formula: see text] and [Formula: see text], respectively. Rational solutions of the two presented Sawada–Kotera-like equations are… read more here.
Keywords: kotera like; rational solutions; like equations; two sawada ... See more keywords
Application of mathematical methods for the non-linear seventh order Sawada-Kotera-Ito dynamical wave equation
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DOI: 10.2298/tsci190705373a
Abstract: This article deal with finding travelling wave solutions for the 7th order Sawada-Kotera-Ito dynamical wave equation which describes the evolution of steeper waves of shorter wavelength than KdV equations using modified extended direct algebraic method.… read more here.
Keywords: sawada kotera; kotera ito; ito dynamical; order sawada ... See more keywords