Journal
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
Volume 45, Issue 6, Pages 989-1002Publisher
INDIAN NAT SCI ACAD
DOI: 10.1007/s13226-014-0100-9
Keywords
Potential-YTSF equation; multiple soliton solutions; Hirota's method; symbolic computation; Painleve-Backlund transformation
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Funding
- national natural science foundation of China [81160531]
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In this paper, we employ the extended variable-coefficient homogeneous balance method (EvcHB), the Painlev,-Backlund transformation and the simplified Hirota's method to derive auto-Backlund 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.
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