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}
}
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.
Showing 1-10 of 205 extracted citations

603 Citations

050100'09'12'15'18
Citations per Year
Semantic Scholar estimates that this publication has 603 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 55 references

A note on the auxiliary equation method for solving nonlinear partial differential equations

  • C. P. Liu, X. P. Liu
  • Phys. Lett. A 348
  • 2006
Highly Influential
7 Excerpts

Exp-function method for nonlinear wave equations

  • J. H. He, X. H. Wu
  • Chaos Solitons Fractals 30
  • 2006
Highly Influential
4 Excerpts

The periodicwave solutions for the (2+1)-dimensional Konopelchenko–Dubrovsky equations

  • S. Zhang
  • Chaos Solitons Fractals 30 (2006) 1213–1220. S…
  • 2009

Application of Exp-function method to high-dimensional nonlinear evolution equation

  • S. Zhang
  • Chaos Solitons Fractals 38
  • 2008
1 Excerpt

Application of Exp-function method to symmetric regularized long wave (SRLW) equation

  • F. Xu
  • Phys. Lett. A 372
  • 2008

Application of Exp-functionmethod to Riccati equation and new exact solutions with three arbitrary functions of Broer–Kaup–Kupershmidt equations

  • S. Zhang
  • Phys. Lett. A 372
  • 2008

Discrete (2+ 1)-dimensional Toda lattice equation via Exp-function method

  • S. D. Zhu
  • Phys. Lett. A 372
  • 2008

Similar Papers

Loading similar papers…