Some methods for travelling wave solutions of nonlinear partial differential equations and numerical analysis of the solutions
2012
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Advisor: Prof. Dr. Doğan Kaya
Abstract (EN)
This study is constructed in eight Chapters.In Chapter one, some fundamental definitions are given.In Chapter two, it is given some analytical methods to obtain travelling wavesolutions of nonlinear partial differential equations.In Chapter three, it is obtained solutions of CRWP and KdV equations by using theBäcklund transform and Jacobi elliptic function rational expansion methods from thatanalysis is made in Chapter two.In Chapter four, it is given alternative approximations for travelling wave solutionsof nonlinear partial differential equations.In Chapter five, it is given of one semi analytical method which is used to solvelinear and nonlinear equations.In Chapter six, it is obtained series solutions for CRWP and 5.Ordered KdV-likeequations which are considered in third chapter by using semi analytical method which isgiven in chapter five.In Chapter seven, it is discussed numerical results of series solutions which areobtained in Chapter six.In Chapter eight, it is made a generalized assessment by supporting results which areobtained in this study with some studies in literature.
Author
Bülent Kılıç
How to Cite
Bülent Kılıç (Doctorate thesis). Some methods for travelling wave solutions of nonlinear partial differential equations and numerical analysis of the solutions, 2012, Fırat University.
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