# Exp-function method for a nonlinear ordinary differential equation and new exact solutions of the dispersive long wave equations

@article{Zhang2009ExpfunctionMF, title={Exp-function method for a nonlinear ordinary differential equation and new exact solutions of the dispersive long wave equations}, author={Sheng Zhang and Jing-Lin Tong and Wei Wang}, journal={Computers & Mathematics with Applications}, year={2009}, volume={58}, pages={2294-2299} }

- Published 2009 in Computers & Mathematics with Applications
DOI:10.1016/j.camwa.2009.03.020

In this paper, the Exp-function method is used to obtain general solutions of a firstorder nonlinear ordinary differential equation with a fourth-degree nonlinear term. Based on the first-order nonlinear ordinary equation and its general solutions, new and more general exact solutions with free parameters and arbitrary functions of the (2 + 1)dimensional dispersive long wave equations are obtained, from which some hyperbolic function solutions are also derived when setting the free parameters… CONTINUE READING

Highly Cited

This paper has 603 citations. REVIEW CITATIONS

#### From This Paper

##### Topics from this paper.

205 Citations

55 References

Similar Papers

#### Citations

##### Publications citing this paper.

#### Citation Statistics

#### 603 Citations

Citations per Year

Semantic Scholar estimates that this publication has

**603**citations based on the available data.See our **FAQ** for additional information.