Acta Physica Sinica · 2010 · 13 citations · 0 references
Natural SciencesPhysicsDifferential EquationsFluid DynamicsNumerical Methods For Differential EquationsPartial Differential EquationsSystems Of Differential EquationsAnalytical SolutionsDifferential Equation SolversDissipative Dynamical SystemsKdv EquationNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential Equations
We obtained a class of approximations and analytical solutions for the KdV-Burgers equation by using the homotopy analysis method (HAM). The solutions we got agree very well with the exact solutions. The results indicate that the HAM is still valid for solving a class of dissipative systems.