FIZIKA B 3 (1994) 1, 1-6

SOLITARY WAVES AND PERIODIC WAVES THROUGH AN ITERATIVE APPROACH

RADHASHYAM BANERJEE
Condensed Matter Physics Research Centre, Department of Physics, Jadavpur University, Calcutta 700 032, India

Received 18 January 1994

We have obtained exact solutions of some non-linear partial differential equations by a new iteration method that was proposed by Blender. As examples, solitary wave solutions of the Benjamin-Bona-Mahony equation, Joseph-Egra equation, coupled K-dV equations and of the Zakharov-Kuznetsov equation have been obtained. For the K(2, 2) equation, recently suggested by Rosenau and Hyman (which give compactons: solitons of finite wavelength), a new type of periodic wave solutions has been found.

UDC 53.01
PACS 02.30.Jr

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