Supersymmetric KdV-Sawada-Kotera-Ramani equation and its quasi-periodic wave solutions

DOI10.1016/j.physleta.2009.11.071zbMath1235.35242OpenAlexW2094534254MaRDI QIDQ763903

En-gui Fan

Publication date: 2 April 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.11.071

zbMATH Keywords

Hirota's bilinear methodquasi-periodic wave solutionsSawada-Kotera-Ramani equationsuper-Riemann theta functionsupersymmetric KdV

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Grassmannians, Schubert varieties, flag manifolds (14M15) Supersymmetry and quantum mechanics (81Q60) Theta functions and abelian varieties (14K25) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (10)

On one- and two-periodic wave solutions of the ninth-order KdV equation ⋮ The Riemann-Bäcklund method to a quasiperiodic wave solvable generalized variable coefficient \((2+1)\)-dimensional KdV equation ⋮ Quasi-periodic waves of the \(\mathcal N=1\) supersymmetric modified Korteweg-de Vries equation ⋮ Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy ⋮ Double periodic wave solutions of the \((2 + 1)\)-dimensional Sawada-Kotera equation ⋮ HOMOCLINIC MANIFOLDS, CENTER MANIFOLDS AND EXACT SOLUTIONS OF FOUR-DIMENSIONAL TRAVELING WAVE SYSTEMS FOR TWO CLASSES OF NONLINEAR WAVE EQUATIONS ⋮ Quasi-periodic wave solutions and two-wave solutions of the KdV-Sawada-Kotera-Ramani equation ⋮ Exact solitary wave and quasi-periodic wave solutions of the KdV-Sawada-Kotera-Ramani equation ⋮ Linear superposition principle applying to Hirota bilinear equations ⋮ Periodic wave solutions and asymptotic analysis of the Hirota-Satsuma shallow water wave equation

Cites Work

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• Nonlinear Evolution Equations Generated from the Backlund Transformation for the Boussinesq Equation
• Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation
• Periodic wave solutions of the Boussinesq equation
• Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
• Hierarchies of Coupled Soliton Equations. I
• Supersymmetric extension of the Korteweg–de Vries equation
• Extension of the bilinear formalism to supersymmetric KdV-type equations
• Supersymmetric Sawada–Kotera–Ramani Equation: Bilinear Approach
• An integrable symmetric (2+1)-dimensional Lotka–Volterra equation and a family of its solutions
• Supersymmetric modified Korteweg–de Vries equation: bilinear approach
• Bilinearization ofN= 1 supersymmetric Korteweg–de Vries equation revisited

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