IJPAM: Volume 100, No. 1 (2015)
A NEW FORM OF THE -DIMENSIONAL BKP EQUATION
Normal School, Jinhua Polytechnic
Jinhua, 321007, P.R. CHINA
Abstract. The Hirota's bilinear method is used to construct multiple-soliton solutions for a new form of the (3 + 1)-dimensional BKP equation. The resulting solutions involve generic phase shifts and wave frequencies containing some existing choices. By taking the long wave limit approach and extending the real parameters into complex parameters, a few classes of limit solutions and complexitons are generated respectively. Finally, a Wronskian formulation is presented.
Received: December 9, 2014
AMS Subject Classification: 35Q51, 35C10, 37K30
Key Words and Phrases: the (3+1)-dimensional generalized BKP equation, exact solutions, limit solutions
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DOI: 10.12732/ijpam.v100i1.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 81 - 94
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