Pramana

, Volume 77, Issue 2, pp 233–242

Integrability of two coupled Kadomtsev–Petviashvili equations

Article

DOI: 10.1007/s12043-011-0141-0

Cite this article as:
WAZWAZ, AM. Pramana - J Phys (2011) 77: 233. doi:10.1007/s12043-011-0141-0

Abstract

The integrability of two coupled KP equations is studied. The simplified Hereman form of Hirota’s bilinear method is used to examine the integrability of each coupled equation. Multiple-soliton solutions and multiple singular soliton solutions are formally derived for each coupled KdV equation.

Keywords

Coupled KP equationHereman’s methodmultiple-soliton solutionsmultiple singular soliton solutions

PACS Nos

02.30.Ik02.30.Jr05.45.Yv

Copyright information

© Indian Academy of Sciences 2011

Authors and Affiliations

  1. 1.Department of MathematicsSaint Xavier UniversityChicagoUSA