A supersymmetric Sawada-Kotera equation

Trivially related lax pairs of the Sawada-Kotera equation

We show that a recently introduced Lax pair of the Sawada-Kotera equation is nota new one but is trivially related to the known old Lax pair. Using the so-called trivialcompositions of the old Lax pairs with a differentially constrained arbitrary operators,we give some examples of trivial Lax pairs of KdV and Sawada-Kotera equations.

Numerical Solution of Sawada-Kotera equation by using Iterative Methods

Lie symmetry analysis and exact solutions of the Sawada–Kotera equation

In the present paper, the Sawada–Kotera equation is considered by Lie symmetry analysis. All of the geometric vector fields to the Sawada–Kotera equation are obtained, and then the symmetry reductions and exact solutions of the Sawada–Kotera equation are investigated. Our results show that symmetry analysis is a very efficient and powerful technique in finding the solution of the proposed equat...

Traveling Wave Solutions For The Sawada - Kotera - Kadomtsev - Petviashivili Equation And The Bogoyavlensky - Konoplechenko Equation By ( G ′ G ) - Expansion

This paper presents a new function expansion method for finding traveling wave solutions of a nonlinear equations and calls it the ( G′ G ) -expansion method, given by Wang et al recently. As an application of this new method, we study the well-known Sawada-Kotera-Kadomtsev-Petviashivili equation and Bogoyavlensky-Konoplechenko equation. With two new expansions, general types of soliton solutio...

Extension of the bilinear formalism to supersymmetric KdV-type equations

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.