Explicit and exact solutions for a generalized long-short wave resonance equations with strong nonlinear term

Chaos, Solitons and Fractals

Volumn 26, Issue 2, 2005, Pages 527-539

  Shang, Yadong ^a  

^a GUANGZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); GRAVITY WAVES; INTEGRATION; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING; RESONANCE;

BIFURCATION THEORY; HYPERBOLIC FUNCTIONS; INTEGRATION CONSTANTS; WAVE RESONANCE EQUATIONS;

WAVE EQUATIONS;

EID: 18544365510     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.01.066     Document Type: Article

References (16)

1. V.D. Djordjevic, and L.G. Redekopp On the two-dimensional packets of capillary-gravity waves J Fluid Mech 79 4 1977 703 714
2. R.H.J. Grimshaw The modulation of an internal gravity-wave packet and the resonance with the mean motion Stud Appl Math 56 3 1977 241 253
3. D.R. Nicholson, and M.V. Grldman Phys Fluids 19 10 1976 1103 1125
4. D.J. Benny A general theory for interactions between short and long waves Stud Appl Math 56 1 1977 81 94
5. Boling Guo The periodic initial value problems and initial value problems for one class of generalized LS type equations J Eng Math 8 1 1991 47 53
6. M. Tsutsumi, and S. Hatano Well posedness of the Cauchy problem for the long-short wave resonance equation Nonlinear Anal TMA 22 1 1994 151 171
7. Guo Boling, and Miao Changxing Well posedness of Cauchy problem for coupled system of the long-short wave equations J Partial Differential Equations 11 1 1998 46 58
8. Boling Guo, and Bixiang Wang The global solution and its long time behavior for a class of generalized LS type equations Progr Nat Sci 6 5 1996 533 546
9. Guo Boling, and Chen Lin Orbital stability of solitary waves of the long-short resonance equations Math Meth Appl Sci 21 1998 883 894
10. S.N. Chow, and J.K. Hale Methods of bifurcation theory 1983 Springer-Verlag New York
11. J. Guckenheimer, and P. Holmes Nonlinear oscillations Dynamical systems and bifurcations of vector fields Applied mathematical science vol. 42 1983 Springer-Verlag New York
12. Wei Wang, Shiming Wu, and Jianhua Sun Explicit exact solutions of solitary waves in the generalized nonlinear Schrodinger equation Acta Math Appl Sin 27 2 2004 281 290 [in Chinese]
13. Yadong Shang Explicit and exact solutions for a class of nonlinear wave equations Acta Math Appl Sin [in Chinese] 23 1 2000 21 30 [in Chinese]
14. Weiguo Zhang, Qianshun Chang, and Baoguo Jiang Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order Chaos, Solitons & Fractals 13 2 2002 311 319
15. Zhaosheng Feng Exact solutions to the Lienard equation and its applications Chaos, Solitons & Fractals 21 2 2004 343 348
16. Yong Chen, and Biao Li General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order Chaos, Solitons & Fractals 19 4 2004 977 984