New Exact Solutions of Nonlinear Partial Differential Equations using Tan-Cot Function Method

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In this paper, we established a traveling wave solution by using the proposed Tan-Cot function algorithm for nonlinear partial differential equations. The method is used to obtain new solitary wave solutions for various type of nonlinear partial differential equations such as, the (2+1) – dimensional nonlinear Schrödinger equation, Gardner equation, the modified KdV equation, perturbed Burgers equation, general Burger’s-Fisher equation, and Benjamin-Bona-Mahony equation ,which are the important Soliton equations. Proposed method has been successfully implemented to establish new solitary wave solutions for the nonlinear PDEs.

DOI : https://d1wqtxts1xzle7.cloudfront.net/32374222/2012_5_studies_in_mathematical_sciences-libre.pdf?1391496170=&response-content-disposition=inline%3B+filename%3DNew_Exact_Solutions_of_Nonlinear_Partial.pdf&Expires=1712137910&Signature=NPFjPY8U9Esa7c2cNoN9ljrAkIG7hxusbIXcxMew0l3uQhaC46yiiQmWrb8wAf3U4SYCL8darTlVWhxRqY2SB36-YVHDSCEcuxj940kDMppusHYttjYzchg2GkD3b6ChFHwhzvv0BfHDcgJ4sz-smMo13u6Z-24ziwsPeYFU-xBVzovKUvc0SC7hGEwzX9QfDhxca-WbO9tS~4lD7YJlkdw2pJ5Gj3Ywbjaa1N-nflPDWieNkmZPI8f2D~Qgnwu0svgAjL7YI7vfDCTROB3BeOILT5m7JzBqTmZuqfmfbk9VUi97cYdpx9ioNog~Oi~1ykJAuGkKzqDx1oc30HLtpw__&Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA