Application of Bifurcation Method to a Generalized Modified Boussinesq Equation

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참고문헌 (13)

1. W. G. Zhang, "Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order", J. Math. Anal. Appl., 287, pp.1~18 (2003)
2. D. Kaya, "The exact and numerical solitary-wave solutions for generalized modi¯ed Boussinesq equation", Phys. Lett., 348, pp.244~250 (2006)
3. P. A. Clarkson, "Solitary wave interactions in elastic rods", Stud. Appl. Math., 75, pp.95~122 (1986)
4. I. L. Bogolubsky, "Some examples of inelastic solition interaction", Comput. Phys. Commun., 13, pp.149~155 (1977)
5. A. Parker, "On exact solutions of the regularied long-wave equation: A direct ap- proach to partially integrable equation, 1. solitary wave and solutions", J. Math. Phys., 36, pp.3498~3505 (1995)
6. W. G. Zhang, "Explicit solitary-wave solutions to generalized Pochhammer- Chree equations", Appl. Math. Mech., 20, pp.666~674 (1999)
7. J. B. Li, "Bifurcations of traveling wave solutions in generalized Pochhammer-Chree equation", Chaos Solitons Fractals, 14, pp.581~593 (2002)
8. W. L. Zhang, "Solitary wave solutions and kink wave solutions for a generalized PC equation", . Math. Appl. Sinica, English Series, 21, pp.125~134 (2005)
9. M. Rafei, "Application of homo-topy perturbation method to the RLM and generalized modi¯ed Boussinesq equations", Phys. Lett., 364, pp.1~6 (2007)
10. Z. R. Liu, "A note on solitary wave for modi¯ed forms of Camassa-Holm and Degasperis-procesi equation", Phys. Lett., 366, pp.377~381 (2007)
11. Jiang Tao, "Bounded Traveling Wave Solution of a Nonlinear Equation", Kyungpook Mathematical Journal, 43(1), pp.113~125 (2003), 경북대학교 자연과학대학 수학과
12. S. N. Chow, "Method of bifurcation theory" (1982), Springer-verlag
13. J. Guckenheimer, "Nonlinear Oscillations, Dynamical Systems and Bifur-cations of Vector Fields" (1999), Springer-verlag

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