Multiple soliton solutions, soliton-type solutions and rational solutions for the (3+1)-dimensional potential-YTSF equation

In this paper, we employ the extended variable-coefficient homogeneous balance method (EvcHB), the Painlevé-Bäcklund transformation and the simplified Hirota’s method to derive auto-Bäcklund transformation, multiple soliton solutions and multiple singular soliton solutions of the (3+1)-dimensional p...

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Veröffentlicht in:Indian journal of pure and applied mathematics 2014-12, Vol.45 (6), p.989-1002
Hauptverfasser: Liu, Jianguo, Zeng, Zhifang
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we employ the extended variable-coefficient homogeneous balance method (EvcHB), the Painlevé-Bäcklund transformation and the simplified Hirota’s method to derive auto-Bäcklund transformation, multiple soliton solutions and multiple singular soliton solutions of the (3+1)-dimensional potential-YTSF equation. We also obtain a variety of traveling wave solutions, soliton-type solutions and rational solutions of distinct physical structures.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-014-0100-9