Bekir, Ahmet; Aksoy, Esin Exact solutions of nonlinear evolution equations with variable coefficients using exp-function method. (English) Zbl 1197.35213 Appl. Math. Comput. 217, No. 1, 430-436 (2010). Summary: We apply the exp-function method to construct generalized solitary and periodic solutions of nonlinear evolution equations with variable coefficients. The proposed technique is tested on the Zakharov-Kuznetsov and (2+1)-dimensional Broer-Kaup equations with variable coefficients. These equations play a very important role in mathematical physics and engineering sciences. The suggested algorithm is quite efficient and is practically well suited for use in these problems. Obtained results clearly indicate the reliability and efficiency of the proposed exp-function method. Cited in 5 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35C08 Soliton solutions 35B10 Periodic solutions to PDEs 35A24 Methods of ordinary differential equations applied to PDEs Keywords:exact solutions; exp-function method; Zakharov-Kuznetsov equation with variable coefficients; (2+1)-dimensional Broer-Kaup equations with variable coefficients PDFBibTeX XMLCite \textit{A. Bekir} and \textit{E. Aksoy}, Appl. Math. Comput. 217, No. 1, 430--436 (2010; Zbl 1197.35213) Full Text: DOI References: [1] Ablowitz, M. J.; Segur, H., Solitons and Inverse Scattering Transform (1981), SIAM: SIAM Philadelphia · Zbl 0299.35076 [2] Malfliet, W., Solitary wave solutions of nonlinear wave equations, American Journal of Physics, 60, 650-654 (1992) · Zbl 1219.35246 [3] Wazwaz, A. M., The tanh method for travelling wave solutions of nonlinear equations, Applied Mathematics and Computation, 154, 3, 713-723 (2004) · Zbl 1054.65106 [4] El-Wakil, S. A.; Abdou, M. 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