Travelling wave solutions in a model of the helix polypeptide chains

Chaos, Solitons and Fractals

Volumn 20, Issue 4, 2004, Pages 827-841

  Li, Jibin ^a   Shen, Jianwei ^a  

^a KUNMING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); EQUATIONS OF MOTION; HAMILTONIANS; HYDROGEN BONDS; POLYPEPTIDES; PROBLEM SOLVING; THEOREM PROVING;

SOLITARY WAVES; TRAVELING WAVES;

WAVE EQUATIONS;

EID: 0345356236     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2003.09.007     Document Type: Article

References (9)

1. Chow S.N., Hale J.K. Method of bifurcation theory. 1981;Springer-Verlag, New York.
2. Debnath L. Nonlinear partial differential equations for scientists and engineers. 1997;Birkhauser, Boston, MA.
3. Guckenheimer J., Holmes P.J. Nonlinear oscillations, dynamical systems and bifurcations of vector fields. 1983;Springer-Verlag, New York.
4. Li Jibin, Liu Zhengrong Smooth and non-smooth traveling waves in a nonlinearly dispersive equation. Appl. Math. Modell. 25:2000;41-56.
5. Li Jibin, Liu Zhengrong Travelling wave solutions for a class of nonlinear dispersive equations. Chin. Ann. Math. Ser. B. 23(3):2002;397-418.
6. Li Y.A., Olver P.J. Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system I: Compactons and peakons. Discrete Contin. Dyn. Syst. 3:1997;419-432.
7. Li Y.A., Olver P.J. Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system II: Complex analytic behaviour and convergence to non-analytic solutions. Discrete Contin. Dyn. Syst. 4:1998;159-191.
8. Perko L. Differential Equations and Dynamical Systems. 1991;Springer-Verlag, New York.
9. Xu Jizhong Soliton dymamics in the helix polypeptide chains. Chaos, Solitons & Fractals. 11:2000;779-790.