Vector shock soliton and the Hirota bilinear method

Chaos, Solitons and Fractals

Volumn 26, Issue 1, 2005, Pages 95-105

  Pashaev, Oktay ^a   Tanoǧlu, Gamze ^a  

^a IZMIR INSTITUTE OF TECHNOLOGY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; POLYNOMIALS; PROBLEM SOLVING; SHOCK WAVES; VECTORS;

CUMBERSOME; HIROTA BILINEAR METHODS; ORDER POLYNOMIALS; VECTOR SHOCK SOLITON;

SOLITONS;

EID: 17644427366     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.12.021     Document Type: Article

References (18)

1. J.D. Murray Mathematical biology, vols. I and II 2003 Springer
2. A.S. Scott Nonlinear science 1999 Oxford University Press
3. P.A. Clarkson, and E.L. Mansfield Applications of analytic and geometric methods to nonlinear differential equations 1993 Kluwer 375 389
4. R.M. Cherniha Rep Math Phys 41 1998 333 349
5. A.H. Khater, W. Malfliet, D.K. Callebaut, and E.S. Kamel Chaos, Solitons & Fractals 14 2002 513 522
6. M.J. Ablowitz, and A. Zeppetella Bull Math Biol 41 1979 835 840
7. R. Hirota Direct methods in soliton theory Solitons 1980 Springer-Verlag
8. T. Miwa, M. Jimbo, and E. Date Solitons: differential equations, symmetries and infinite dimensional algebras 2000 Cambridge University Press
9. D.G. Aronson, and H.F. Weinberger J.A. Goldstein Partial differential equations and related topics Lect Notes Math vol. 446 1975 Springer 5 49
10. R. Fitzhugh Biophys J 1 1961 445 466
11. J.S. Nagumo, S. Arimoto, and S. Yoshizawa Proc IRE 50 1962 2061 2070
12. F. Schlögl Z Phys 253 1972 147 161; F. Schlögl, and R.S. Berry Phys Rev A 21 1980 2078 2081
13. F. Schlögl Z Phys 253 1972 147 161; F. Schlögl, and R.S. Berry Phys Rev A 21 1980 2078 2081
14. T. Dehrmann J Phys A: Math Gen 15 1982 L649 L652
15. A.C. Newell, and J.A. Whitehead J Fluid Mech 38 1969 279 303
16. A. Kolmogoroff, I. Petrovsky, and N. Piscounov Bull de l'Univ d'Etat a Moscou (Ser Int), A 1 1937 1 25
17. T. Kawahara, and M. Tanaka Phys Lett 97A 1983 311 314
18. J. Satsuma Exact solutions of Burgers' equation with reaction terms M. Ablowitz B. Fuchssteiner M. Kruskal Topics in soliton theory and exactly solvable nonlinear equations 1986 World Scientific