New solitary Solution for the Kudryashov-Sinelshchikov (KS) equation by Modern Extension of the Hyperbolic Method
Author(s) -
Ali H. Hazza,
Wafaa M. Taha,
Raad A. Hameed,
Israa A. Ibrahim
Publication year - 2020
Publication title -
tikrit journal of pure science
Language(s) - English
Resource type - Journals
eISSN - 2415-1726
pISSN - 1813-1662
DOI - 10.25130/j.v25i2.967
Subject(s) - hyperbolic function , extension (predicate logic) , trigonometry , rational function , trigonometric functions , nonlinear system , function (biology) , mathematics , partial differential equation , traveling wave , hyperbolic partial differential equation , mathematical analysis , computer science , physics , geometry , quantum mechanics , evolutionary biology , biology , programming language
tanh function method of nonlinear partial differential equations (NLPDEs) of Kudryashov Sinelshchikov (KS) equation for obtaining exact and solitary traveling wave solutions. Through our solutions, we gain various functions, such as, hyperbolic, trigonometric and rational functions. Additionally, we support our results by comparisons with other methods and painting 3D graphics of the exact solutions. It is shown that our method provides a powerful mathematical tool to find exact solutions for many other nonlinear equations in applied mathematics
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