ct 2 00 3 Transformation of a generalized Harry Dym equation into the Hirota – Satsuma system

نویسنده

  • S. Yu. Sakovich
چکیده

The new generalized Harry Dym equation of Z. Popowicz is transformed into the Hirota–Satsuma system of coupled KdV equations.

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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.

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Transformation 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.

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O 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.

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Applications 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...

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Homotopy 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.

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تاریخ انتشار 2003