Application of exp-function method for non-linear evolution equations to the periodic and soliton solutions
نویسندگان
چکیده
منابع مشابه
ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS
Here we consider some non-autonomous ordinary differential equations of order n and present some results and theorems on the existence of periodic solutions for them, which are sufficient conditions, section 1. Also we include generalizations of these results to vector differential equations and examinations of some practical examples by numerical simulation, section 2. For some special cases t...
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Large varieties of physical, chemical, and biological phenomena are governed by nonlinear partial differential equations. Solving nonlinear equations may guide authors to know the described process deeply and sometimes leads them to know some facts that are not simply understood through common observations. The investigation of exact solutions of nonlinear partial differential equations plays a...
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In this paper, the tanh and sine–cosine methods are used to construct exact periodic and soliton solutions of nonlinear evolution equations arising in mathematical physics. Many new families of exact travelling wave solutions of the generalized Hirota–Satsuma coupled KdV system, generalized-Zakharov equations and (2 + 1)-dimensional Broer–Kaup– Kupershmidt system are successfully obtained. The ...
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ژورنال
عنوان ژورنال: Indian Journal of Science and Technology
سال: 2011
ISSN: 0974-6846,0974-5645
DOI: 10.17485/ijst/2011/v4i2.10