New periodic wave solutions for nonlinear evolution equations with variable coefficients via mapping method |
| |
| Authors: | MA Abdou SS Abd ElGawad |
| |
| Institution: | 1. Physics Department, Theoretical Research Group, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt;2. Physics Department, Faculty of Education for Girls, King Kahlid University, Bisha, Saudia Arabia;3. National Institute of Oceanography and Fisheries, Egypt |
| |
| Abstract: | An extended mapping method with a computerized symbolic computation is used for constructing a new exact travelling wave solutions for nonlinear evolution equations arising in physics, namely, generalized Zakharov Kuznetsov equation with variable coefficients. As a result, many exact travelling wave solutions are obtained which include new periodic wave solution, trigonometric function solutions and rational solutions. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations with variable coefficients arising in mathematical physics. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010 |
| |
| Keywords: | extended mapping method nonlinear evolution equations with variable coefficients exact solutions |
|
|
