Bilinear approach to the supersymmetric Gardner equation
نویسندگان
چکیده
منابع مشابه
Bilinear Approach to Supersymmetric KdV Equation
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 equation. The solution for multiple collisions of super-solitons is given.
متن کاملSupersymmetric Modified Korteweg-de Vries Equation: Bilinear Approach
A proper bilinear form is proposed for the N = 1 supersymmetric modified Korteweg-de Vries equation. The bilinear Bäcklund transformation for this system is constructed. As applications, some solutions are presented for it.
متن کاملSoliton Perturbation Theory for the Gardner Equation
The adiabatic parameter dynamics of solitons due to Gardner’s equation is obtained, in presence of the perturbation terms, by the aid of soliton perturbation theory. In addition, the integrals of motion are evaluated as well as the variation of the velocity is obtained due to these perturbation terms. Mathematics Subject Classification: 35Q51, 35Q53, 37K10 PACS Codes: 02.30.Jr, 02.30.Ik 788 A. ...
متن کاملThe cosine method to Gardner equation and (2+1)- dimensional breaking soliton system
In this letter, we established a traveling wave solution by using cosine function algorithm for Gardnerequation and (2+1)-dimensional breaking soliton system. The cosine method is used to obtain theexact solution.
متن کاملExtension 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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical and Mathematical Physics
سال: 2016
ISSN: 0040-5779,1573-9333
DOI: 10.1134/s0040577916080031