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

Jianguo Liu and Zhifang Zeng ()
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Jianguo Liu: Jiangxi University of Traditional Chinese Medicine
Zhifang Zeng: Jiangxi Vocational and Technical College of Communication

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 6, 989-1002

Abstract: Abstract 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.

Keywords: Potential-YTSF equation; multiple soliton solutions; Hirota’s method; symbolic computation; Painlevé-Bäcklund transformation (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0100-9

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