Classification of travelling waves in the Fornberg-Whitham equation

Journal of Mathematical Analysis and Applications

Volumn 368, Issue 1, 2010, Pages 133-143

  Yin, Jiuli ^a   Tian, Lixin ^a   Fan, Xinghua ^a  

^a JIANGSU UNIVERSITY   (China)

Author keywords

Classification; Fornberg Whitham equation; Fractal like waves; Limit behavior; Stumpons; Travelling waves

Indexed keywords

EID: 77951206885     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2010.03.037     Document Type: Article

References (32)

1. Whitham G.B. Proc. R. Soc. Lond. Ser. A 1967, 299:6.
2. Ivanov R. J. Nonlinear Math. Phys. 2005, 1294:462.
3. Fornberg B., Whitham G.B. Philos. Trans. R. Soc. Lond. Ser. A 1978, 289:373.
4. Zhou J.B., Tian L.X. J. Math. Anal. Appl. 2008, 346:255.
5. J.B. Zhou, L.X. Tian, Nonlinear Anal., preprint.
6. Camassa R., Holm D.D. Phys. Rev. Lett. 1993, 71(11):1661.
7. Constantin A. Proc. R. Soc. Lond. Ser. A 2001, 457:953.
8. Constantin A. Acta Math. 1998, 181:229.
9. Constantin A., Strauss W.A. J. Nonlinear Sci. 2002, 12:415.
10. Cooper F., Shepard H. Phys. Lett. A 1994, 194(4):246.
11. Fisher M., Schiff J. Phys. Lett. A 1999, 259(5):371.
12. Johnson R.S. Camassa-Holm. J. Fluid Mech. 2002, 455:63.
13. Johnson R.S. Proc. R. Soc. Lond. Ser. A 2003, 459:1687.
14. Kalisch H., Lenells J. Chaos Solitons Fractals 2005, 25:287.
15. Kraenkel R.A., Zenchuk A.I. Math. Comput. Simulation 2001, 55:483.
16. Lenells J. J. Nonlinear Math. Phys. 2002, 9(4):389.
17. McKean H.P. Comm. Pure Appl. Math. 2003, 56:638.
18. Wahlen E. Arch. Math. 2005, 84:334.
19. Lenells J. J. Differential Equations 2005, 217:393.
20. Song L.N., Wang Q., Zheng Y., Zhang H.Q. Chaos Solitons Fractals 2007, 31:548.
21. Huang D.J., Zhang H.Q. Phys. Lett. A 2005, 344:229.
22. Zhang J.L., Wang M.L., et al. Phys. Lett. A 2006, 350:103.
23. Li J., Liu Z.R. Appl. Math. Model. 2000, 25:41.
24. Long Y., Rui W., et al. Chaos Solitons Fractals 2005, 23:469.
25. Liu Z., Chen C. Chaos Solitons Fractals 2004, 22:627.
26. J. Li, Y. Zhang, Nonlinear Anal., preprint.
27. Chen C., Tang M. Chaos Solitons Fractals 2006, 27:698.
28. Lenells J. Int. Math. Res. Not. IMRN 2004, 10:485.
29. Constantin A., Strauss W.A. J. Nonlinear Sci. 2002, 12:415.
30. Hakkaev Sevdzhan Phys. Lett. A 2006, 354:137.
31. Yin Jiuli, Tian Lixin J. Math. Phys. 2010, 51:023505.
32. Tian Lixin, Gui Guilong Comm. Math. Phys. 2005, 257(3):667.