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
Year: 2015
Volume: 100
Issue: 1
Pages: 81 - 94

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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