The Multiple Exact Solutions for the Variable Coefficient KdV Equation

Lin Tian; Jia Qing Miao

doi:10.4028/www.scientific.net/AMM.513-517.4474

Paper Titles

RETRACTED: Electro Optic Conversion Methods in Intra-Body Communication
p.4458

Design of Apparatus in Z-Pinch Plasma Neutron Sources for Fusion-Fission Breeders
p.4462

Research in Optical Image Differential Based on Digital Filter
p.4466

Modified Auxiliary Differential Equation Method and Exact Solutions Generalized Schrödinger
p.4470

The Multiple Exact Solutions for the Variable Coefficient KdV Equation
p.4474

SOPC-Based Multi-Rate Data Acquisition System
p.4478

Application Research of the Total Expectation Formula in Stochastic Model
p.4482

Seasonal Variations of the Regular Indices of the Surface Water in the Taizi River
p.4486

CFD Transonic Trajectory Predictions of Three-Store Ripple Release Using Chimera Method
p.4490

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 513-517The Multiple Exact Solutions for the Variable...

The Multiple Exact Solutions for the Variable Coefficient KdV Equation

Abstract:

The auxiliary differential equation method has recently been proposed ,It is introduced to construct more new exact solutions for the variable coefficient KdV equations. As a result , hyperbolic function solutions, trigonometric function solutions, and elliptic function solutions rational function solutions with parameters are obtained.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 513-517)

Pages:

4474-4477

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.513-517.4474

Citation:

Cite this paper

Online since:

February 2014

Authors:

Lin Tian*, Jia Qing Miao

Keywords:

Auxiliary Differential Equation, Exact Solutions, Variable Coefficients KdV Equations

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Sangyadong. Exact solution portfolio KdV-Burgers equation . Chinese Journal of Engineering Mathematics, 2000; 17(4): 99–103.

Google Scholar

[2] Sun Y. H, Ma Z. M, Li Y. Explicit Solutions for Generalized (2+1)-Dimensional Nonlinear Zakharov–Kuznetsov Equation. Commun. Theor. Phys. (Beijing, China), 2010; 54(3): 397–400.

DOI: 10.1088/0253-6102/54/3/03

Google Scholar

[3] ChenDengYuan. Soliton Introduction . Beijing, Science Press, (2008).

Google Scholar

[4] Guo Yucui. Introduction to Nonlinear Partial Differential Equations . Beijing, Tsinghua University Press, (2008).

Google Scholar

[5] Lai S. Y, Yin J, Wu Y.H. Different physical structures of solutions for two related Zakharov- Kuznetsov equations. Phys. Lett. A, 2008; 373: 6461-6468.

DOI: 10.1016/j.physleta.2008.08.071

Google Scholar

[6] F. Moritake, Ruanhang Yu. Variable coefficient KdV equation and equation with variable coefficients MKdV infinitely many conservation laws . Physics，1992; 41(2): 182-187.

Google Scholar

[7] Li Desheng, Zhang Hongqing improved tanh function method and the general variable coefficient KdV equation and MKdV new exact solutions . Physics, 2003; 52 (7): 1569-1572.

Google Scholar

[8] Fan E.G. Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems. Phys. Lett. A, 2002; 300: 243–249.

DOI: 10.1016/s0375-9601(02)00776-4

Google Scholar

[9] Li Zhibin traveling wave solutions of nonlinear equations of mathematical physics . Beijing, Science Press, 2007;. 148-149.

Google Scholar