Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations

Applied Mathematics and Computation

Volumn 171, Issue 1, 2005, Pages 281-292

  Al Khaled, Kamel ^a,d   Momani, Shaher ^b   Alawneh, Ahmed ^c  

^a UNITED ARAB EMIRATES UNIVERSITY   (United Arab Emirates)

^b MUTAH UNIVERSITY   (Jordan)

^c UNIVERSITY OF JORDAN   (Jordan)

^d JORDAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Jordan)

Author keywords

Adomian decomposition method; Benjamin Bona Mahony Burgers Equation; Soliton solutions

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DECOMPOSITION; INITIAL VALUE PROBLEMS; NUMERICAL METHODS; SOLITONS;

ADOMIAN DECOMPOSITION METHOD; BENJAMIN-BONA-MAHONY-BURGERS EQUATION; CONVERGENCE POWER SERIES; SOLITON SOLUTIONS;

NUMERICAL ANALYSIS;

EID: 28444497386     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.01.056     Document Type: Article

References (13)

1. G. Adomian A review of the decomposition method in applied mathematics J. Math. Anal. Appl. 135 1988 501 544
2. G. Adomian Solving Frontier Problems of Physics: The Decomposition Method 1994 Kluwer Academic Publishers Boston
3. T.B. Benjamin, and J.J. Bona Model equations for waves in nonlinear dispersive systems Phil. Trans. Royal Soc. Lond. 227 1972 47 78
4. Y. Cherrualt Convergence of Adomian's method Kybernetes 18 1989 31 38
5. Y. Cherrualt, and G. Adomian Decomposition methods: A new proof of convergence Math. Comput. Model. 18 1993 103 106
6. A. Dura, and M.A. Lopez-Marcos Numrical behavior of stable and unstable solitary waves Appl. Numer. Math. 42 2002 95 116
7. D. Kaya, and I.E. Inan Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation Appl. Math. Comp. 151 3 2004 775 787
8. D. Kaya A numerical simulation of solitary-wave solutions of the generalized regualized long-wave equation Appl. Math. Comput. 149 2004 833 841
9. Ming Mei Large-time behavior of solution for generalized Benjamin-Bona-Mahony-Burgers Equations Nonlinear Anal. 33 1998 699 714
10. N. Ngahasta, and B. Some New numerical study of Adomian method applied to a diffusion model Kybernetes 31 1 2002 61 75
11. D.H. Peregrine Calculations of the development of an undular bore J. Fluid Mech. 25 1996 321 330
12. Chen Yong, Li Biao, and Zhang Hongqing Exact solutions of two nonlinear wave equations with simulation terms of any order Comm. Nonlinear Sci. Numer. Simulation 10 2 2005 133 138
13. H. Zhang, G.M. Wei, and Y.T. Gao On the general form of the Benjamin-Bona-Mahony equation in fluid mechanics Czech J. Phys. 52 2002 344 373