Journal
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
Volume 45, Issue 4, Pages 433-441Publisher
INDIAN NAT SCI ACAD
DOI: 10.1007/s13226-014-0072-9
Keywords
Extended test approach (ETA); (2+1)-dimensional Gardner equation; breather-type soliton solutions; periodic-type soliton solutions
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Based on the extended test approach (ETA), we investigated the nonlinear evolution equations, namely, (2 + 1)-dimensional Gardner equation. We aimed to obtain some exact breather-type and periodic-type soliton solutions for this model. These results show that the extended test technique together with the bilinear method is a simple and effective method to seek exact solutions for nonlinear evolution equations. The properties of some periodic-like and soliton-like solution for this system are shown by some figures.
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