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Modulational Instability and Variable Separation Solution for a Generalized (2+1)-Dimensional Hirota Equation |
LIANG Zu-Feng1, TANG Xiao-Yan2
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| 1Department of Physics, Hangzhou Normal University, Hangzhou 310036 2Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 |
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LIANG Zu-Feng, TANG Xiao-Yan 2010 Chin. Phys. Lett. 27 030201 |
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Abstract It is demonstrated by the linear modulational instability analysis that a generalized (2+1)-dimensional Hirota equation is modulationally stable. Then, a Bäcklund transformation (BT) is obtained by means of the truncated Painlevé approach. Using the BT, the model is transformed to a system of equations, which finally leads to a special variable separation solution with arbitrary functions.
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02.30.Jr
02.30.IK
05.45.Yv
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Received: 13 October 2009
Published: 09 March 2010
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