FIZIKA A 9 (2000) 2 , 47-54

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ON SOME PROPERTIES OF (2 + 1)-DIMENSIONAL PERTURBED KdV EQUATION

SWAPAN K. PAUL and A. ROY CHOWDHURY

High Energy Physics Division, Department of Physics, Jadavpur University,
Calcutta 700032, India

Received 2 December 1999; Accepted 6 July 2000

Explicit solitary-wave solutions of the (2 + 1)-dimensional perturbed KdV equation obtained by Ma et al. are obtained by using the Backlund transformation. Next, we obtain the two-soliton solution in a form which implies a form of superposition. Lastly, the corresponding modified equations are obtained by a new form of the Miura map.

PACS numbers: 05.45.Yv
UDC 531.133
Keywords: (2 + 1)-dimensional perturbed KdV equation, Backlund transformation, two-soliton solution
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