TY - JOUR
T1 - Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations
AU - Al-Khaled, Kamel
AU - Momani, Shaher
AU - Alawneh, Ahmed
PY - 2005/12/1
Y1 - 2005/12/1
N2 - We consider solitary-wave solutions of generalized Benjamin-Bona-Mahony- Burgers Equations (shortly BBMB). The decomposition method is proposed for the numerical solution subject to appropriate initial condition. Soliton solutions are constructed to show the nature of the solution. The numerical solutions of our model equation are calculated in the form of convergence power series with easily computable components. The decomposition method performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability.
AB - We consider solitary-wave solutions of generalized Benjamin-Bona-Mahony- Burgers Equations (shortly BBMB). The decomposition method is proposed for the numerical solution subject to appropriate initial condition. Soliton solutions are constructed to show the nature of the solution. The numerical solutions of our model equation are calculated in the form of convergence power series with easily computable components. The decomposition method performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability.
KW - Adomian decomposition method
KW - Benjamin-Bona-Mahony-Burgers Equation
KW - Soliton solutions
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U2 - 10.1016/j.amc.2005.01.056
DO - 10.1016/j.amc.2005.01.056
M3 - Article
AN - SCOPUS:28444497386
SN - 0096-3003
VL - 171
SP - 281
EP - 292
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 1
ER -