TRAVELLING WAVE SOLUTIONS IN A CHAIN MODEL WITH SHAPE DEFORMABLE POTENTIAL

Aiyong Chen (P. R. China), Zhongjun Ma (P. R. China) and Wentao Huang (P. R. China)

Received January 19, 2008

References:

[1] S. N. Chow and J. K. Hale, Method of Bifurcation Theory, Springer, New York, 1981. [2] S. Dusuel et al., From kinks to compactonlike kinks, Physics Review E 57 (1998), 2320-2326. [3] J. Li and Z. Liu, Smooth and non-smooth travelling waves in a nonlinearly dispersive equation, Appl. Math. Modell. 25 (2000), 41-56. [4] J. Li, J. Wu and H. Zhu, Traveling waves for an integrable higher order KdV type wave equations, Int. J. Bifurcation and Chaos 16(8) (2006), 2235-2260. [5] A. S. Nguetcho et al., Kink compactons in models with parametrized periodic double-well and asymmetric substrate potentials, Chaos, Solitons and Fractals 21 (2004), 165-176. [6] S. B. Yamgoué and T. C. Kofané, Dynamics of driven coupled oscillators with deformable potentian, Chaos, Solitons and Fractals 15 (2003), 119-129.

Keywords and phrases: bifurcation theory, periodic wave solution, solitary wave solution, kink and anti-kink wave solution.