## Exact analytic, regular perturbation and numerical solutions of symmetry reductions of a (2+1)-dimensional KdV-Burgers equation

- B. M. Vaganan, T. S. Priya
- Nonlinear Anal.-Real 14, 1265–1275
- 2013

Highly Influential

@article{Liang2013LaplaceTF, title={Laplace transform for the solution of higher order deformation equations arising in the homotopy analysis method}, author={Songxin Liang and Junchi Ma}, journal={Numerical Algorithms}, year={2013}, volume={67}, pages={49-57} }

- Published 2013 in Numerical Algorithms
DOI:10.1007/s11075-013-9773-0

A new analytic approach for solving nonlinear ordinary differential equations with initial conditions is proposed. First, the homotopy analysis method is used to transform a nonlinear differential equation into a system of linear differential equations; then, the Laplace transform method is applied to solve the resulting linear initial value problems… CONTINUE READING

### Presentations referencing similar topics