On the complex properties to the first equation of the Kadomtsev-Petviashvili hierarchy

Author:

Sivasundaram Seenith1,Kumar Ajay2,Singh Ratnesh Kumar3

Affiliation:

1. 1 Bethune-Cookman University , Daytona Beach, Florida, 32114-3099 , USA

2. 2 Department of Mathematics , Patna Women’s College (Autonomous) Patna University , Patna, Bihar, 800001 , India

3. 3 Department of Science and Technology , Government Engineering College , Buxar , , India

Abstract

Abstract This work studies on the first equation of the Kadomtsev-Petviashvili (KP) hierarchy. The sine-Gordon expansion method (SGEM) and the rational SGEM (RSGEM) are applied to the governing model. RSGEM is the developed version of SGEM. New complex travelling wave solutions, logarithmic and complex function properties are obtained. Several simulations such as 2D, 3D and contour surfaces of the obtained results are plotted. Physical meanings of these solutions are also reported. Strain conditions are also extracted.

Publisher

Walter de Gruyter GmbH

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