THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Sheng Zhang

,

Qun Gao

,

Qian-An Zong

,

Dong Liu

MULTI-WAVE SOLUTIONS FOR A NON-ISOSPECTRAL KDV-TYPE EQUATION WITH VARIABLE COEFFICIENTS

ABSTRACT
As a typical mathematical model in fluids and plasmas, Korteweg-de Vries equation is famous. In this paper, the Exp-function method is extended to a nonisos-pectral Korteweg-de Vries type equation with three variable coefficients, and multi-wave solutions are obtained. It is shown that the Expfunction method combined with appropriate ansatz may provide with a straightforward, effective and alternative method for constructing multi-wave solutions of variable-coefficient non-linear evolution equations.
KEYWORDS
Korteweg-de Vries type equation, exp-function method, multi-wave solution
PAPER SUBMITTED: 2012-07-10
PAPER REVISED: 2012-08-16
PAPER ACCEPTED: 2012-09-12
DOI REFERENCE: https://doi.org/10.2298/TSCI1205476Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE Issue 5, PAGES [1476 - 1479]
REFERENCES
  1. He, J. H., Wu, X. H., Exp-Function Method for Non-linear Wave Equations, Chaos, Solitons and Fractals, 30 (2006), 3, pp. 700-708
  2. He, J. H., Abdou, M. A., New Periodic Solutions for Non-linear Evolution Equations Using Exp- Function Method, Chaos, Solitons and Fractals, 34 (2007), 5, pp. 1421-1429
  3. Zhang, S., Exp-Function Method for Solving Maccari's System, Physics Letters A, 371 (2007), 1-2, pp. 65-71
  4. Zhang, S., Application of Exp-Function Method to a KdV Equation with Variable Coefficients, Physics Letters A, 365 (2007), 5-6, pp. 448-453
  5. Zhu, S. D., Exp-Function Method for the Hybrid-Lattice System, International Journal of Non-linear Sciences and Numerical Simulation, 8 (2007), 3, pp. 461-464
  6. Dai, C. Q., Zhang, J. F., Application of He's Exp-Function Method to the Stochastic mKdV Equation, International Journal of Non-linear Sciences and Numerical Simulation, 10 (2009), 5, pp. 675-680
  7. Zhang, S., et al., A Generalized Exp-Function Method for Fractional Riccati Differential Equation, Communications in Fractional Calculus, 1 (2010), 1, pp. 48-51
  8. Zhang, S., Exp-Function Method: Solitary, Periodic and Rational Wave Solutions of Non-linear Evolution Equations, Non-linear Science Letters A, 1 (2010), 2, pp. 143-146
  9. Marinakis, V., The Exp-Function Method and n-Soliton Solutions, Zeitschrift für Naturforschung A, 63 (2008), 10-11, pp. 653-656
  10. Zhang, S., Zhang, H. Q., Exp-Function Method for N-Soliton Solutions of Non-linear Evolution Equations in Mathematical Physics, Physics Letters A, 373 (2009), 33, pp. 2501-2505
  11. Zhang, S., Zhang, H. Q., Exp-Function Method for N-soliton Solutions of Non-linear Differential- Difference Equations, Zeitschrift für Naturforschung A, 65 (2010), 11, pp. 924-934
  12. Chan, W. L., Zheng, Y. K., Solutions of a Nonisospectral and Variable Coeffeicent Korteweg-de Veries Equation, Letters in Mathematical Physics, 14 (1987), 4, pp. 293-301
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Multi-wave solutions for a non-isospectral KDV-type equation with variable coefficients

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