An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM equation of any order

Chaos, Solitons and Fractals

Volumn 32, Issue 5, 2007, Pages 1846-1852

  Tang, Yaning ^a   Xu, Wei ^a   Gao, Liang ^a   Shen, Jianwei ^a,b  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b XUCHANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; LINEAR EQUATIONS; NUMERICAL METHODS; TIME VARYING SYSTEMS; WAVE EQUATIONS;

PERIODIC SOLUTIONS; SOLITARY WAVES; SYMBOLIC COMPUTATION;

ALGEBRA;

EID: 33846396449     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.12.022     Document Type: Article

References (13)

1. Wazwaz A.-M. Exact solutions with compact and noncompact structures for the one-dimensional generalized Benjamin-Bina-Mahony equation. Commun Nonlinear Sci Numer Simul 10 (2005) 855-867
2. Fan E., and Dai H.H. A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations. Comput Phys Commun 153 (2003) 17-30
3. Wazwaz A.-M. A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation. Appl Math Comput 123 2 (2001) 205-217
4. Wazwaz A.-M. An analytic study of compactons structures in a class of nonlinear dispersive equations. Math Comput Simul 63 1 (2003) 35-44
5. Wazwaz A.-M. The tanh method for travelling wave solutions of nonlinear equations. Appl Math Comput 154 3 (2004) 713-723
6. Wazwaz A.-M. Partial Differential Equations: Methods and Applications (2002), Balkema Publishers, The Netherlands
7. Wazwaz A.-M. Exact solutions of compact and noncompact structures for the KP-BBM equation. Appl Math Comput (2004)
8. Fan E., and Hon Y.C. A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves. Chaos, Solitons & Fractal 15 (2003) 559-566
9. Fan E. Integrable system and computer algebra (2004), Science Press, Beijing (in Chinese)
10. Shen J.W., and Xu W. Travelling wave solutions of Hirota-Satsuma system. Appl Math Comput 161 2 (2005) 365-383
11. Malfliet W., and Hereman W. The tanh method: II. Perturbation technique for conservative systems. Phys Scr 54 (1996) 563-575
12. Li J., and Zhang L. Bifurcation of travelling wave solutions in generalized Pochhammer-Chree equation. Chaos, Solitons & Fractals 14 (2002) 581-593
13. Li J., and Liu Z. Smooth and non-smooth travelling waves in a nonlinearly dispersive equation. Appl Math Modell 25 (2000) 41-56