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Exact periodic kink-wave and degenerative soliton solutions for potential Kadomtsev–Petviashvili equation

✍ Scribed by Zhengde Dai; Jun Liu; Zhenjiang Liu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
573 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

Exact periodic kink-wave solution, periodic soliton and doubly periodic solutions for the potential Kadomtsev-Petviashvii (PKP) equation are obtained using homoclinic test technique and extended homoclinic test technique, respectively. It is investigated that periodic soliton is degenerated into doubly periodic wave varying with direction of wave propagation.

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