Applications of the extended test approach to (2 + 1)-dimensional Gardner equation

Mohammed K. Elboree ()
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Mohammed K. Elboree: South Valley University

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 4, 433-441

Abstract: Abstract 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.

Keywords: Extended test approach (ETA); (2 + 1)-dimensional Gardner equation; breather-type soliton solutions; periodic-type soliton solutions (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0072-9

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