ct 2 00 3 Transformation of a generalized Harry Dym equation into the Hirota – Satsuma system
نویسنده
چکیده
The new generalized Harry Dym equation of Z. Popowicz is transformed into the Hirota–Satsuma system of coupled KdV equations.
منابع مشابه
N ov 2 00 3 Transformation of a generalized Harry Dym equation into the Hirota – Satsuma system
The new generalized Harry Dym equation, recently introduced by Z. Popowicz in Phys. Lett. A 317, 260–264 (2003), is transformed into the Hirota–Satsuma system of coupled KdV equations.
متن کاملTransformation of a generalized Harry Dym equation into the Hirota–Satsuma system
The new generalized Harry Dym equation of Z. Popowicz is transformed into the Hirota–Satsuma system of coupled KdV equations.
متن کاملO ct 2 00 3 On two recent generalizations of the Harry Dym equation
Two generalized Harry Dym equations, recently found by Brunelli, Das and Popowicz in the bosonic limit of new supersymmetric extensions of the Harry Dym hierarchy, are transformed into previously known integrable systems: one—into a pair of decoupled KdV equations , the other one—into a pair of coupled mKdV equations from a bi-Hamiltonian hierarchy of Kupershmidt.
متن کاملApplications of He’s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equations
In this paper, we establish exact solutions for the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system. The He’s semi-inverse and the Kudryashov methods are used to construct exact solutions of these equations. We apply He’s semi-inverse method to establish a variational theory for the time-fractional Klein-Gordon equation, and the time-fractiona...
متن کاملHomotopy Perturbation Method for the Generalized Hirota-Satsuma Coupled KdV Equation
In this paper, we consider the homotopy perturbation method (HPM) to obtain the exact solution of Hirota-Satsuma Coupled KdV equation. The results reveal that the proposed method is very effective and simple and can be applied to other nonlinear mathematical problems.
متن کامل