Inc, Mustafa New exact solutions for the ZK-MEW equation by using symbolic computation. (English) Zbl 1122.65391 Appl. Math. Comput. 189, No. 1, 508-513 (2007). Summary: The extended tanh-method is used to establish exact travelling wave solutions of the Zakharov-Kuznetsov-Modified Equal-Width (ZK-MEW) equation. The obtained solutions include solitary wave solutions, periodic wave solutions and combined formal solutions. Cited in 1 ReviewCited in 10 Documents MSC: 65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs 35Q51 Soliton equations Keywords:Extended tanh-method; solitons; symbolic computation; Zakharov-Kuznetsov-modified equal-width (ZK-MEW) equation; solitary wave solutions; periodic wave solution PDF BibTeX XML Cite \textit{M. Inc}, Appl. Math. Comput. 189, No. 1, 508--513 (2007; Zbl 1122.65391) Full Text: DOI References: [1] Ablowitz, M. J.; Clarkson, P. A., Solitons, Nonlinear Evolution Equations and Inverse Scattering (1991), Cambridge University Press: Cambridge University Press Cambridge · Zbl 0762.35001 [2] Gu, C. H., Soliton Theory and Its Application (1990), Zhejiang Science and Technology Press: Zhejiang Science and Technology Press Zhejiang [3] Wadati, M., J. Phys. Soc. Jpn., 38, 681 (1975) [4] Matveev, V. A.; Salle, M. A., Darboux Transformations and Solitons (1991), Springer-Verlag: Springer-Verlag Heidelberg, Berlin · Zbl 0744.35045 [5] Wang, D. S.; Zhang, H. Q., Chaos, Solitons Fractals, 25, 601 (2005) [6] Wang, M. L., Phys. Lett. A, 26, 353 (2000) [7] Yan, C. T., Phys. Lett. A, 25, 274 (2000) [8] Peng, Y. Z., J. Phys. Soc. Jpn., 73, 1156 (2004) [9] Inc, M., Chaos, Solitons Fractals, 29, 499 (2006) [10] Dehghan, M.; Tatari, M., Phys. Scripta, 72, 425 (2005) [11] He, J. H., Chaos, Solitons Fractals, 19, 847 (2004) [12] He, J. H., Int. J. Nonlinear Mech., 37, 315 (2002) [13] Wazwaz, A. M., Commun. Non Sci. Numer. Simul., 10, 597 (2005) [14] Li, B., Czech. J. Phys., 53, 283 (2003) [15] Zaki, S. I., Comput. Phys. Commun., 126, 597 (2000) [16] Wazwaz, A. M., Commun. Non Sci. Numer. Simul., 11, 148 (2006) [17] Gradner, L. R.T.; Gardner, G. A.; Ayoub, F. A.; Amein, N. K., Commun. Numer. Methods Eng., 13, 583 (1998) [18] Li, B., Appl. Math. Comput., 146, 653 (2003) [19] Wazwaz, A. M., Int. J. Computer Math., 82, 699 (2005) [20] Zhao, X.; Zhou, H.; Tang, Y.; Jia, H., Appl. Math. Comput., 181, 634 (2006) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.