THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION

Volume: 3 Number: 2 December 1, 2013
  • Zhao-hong Sun
  • Wei Zhang
EN

THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION

Abstract

The traveling wave system of one integrable KdV6 equation is studied by using Cosgrove’s method. Some exact explicit traveling wave solutions are obtained. The local dynamical behavior of some known equilibria are discussed.

Keywords

References

  1. [1] A. Karasu-Kalkanli, A. Karasu, A. Sakovich, et al., A New Integrable Generalization Of The Korteweg-de Vries Equation , J. Math. Phys., 49(2008)073516-073525.
  2. [2] B. A. Kupershmidt, KdV6: An Integrable System, Phys. Lett. A 372(2008)2634–2639.
  3. [3] B. A. Kupershmidt, A Super KdV Equation: An Integrable System, Phys. Lett. A 102(1984)213–215.
  4. [4] Y. Q. Yao, Y. B. Zeng, The Bi-Hamiltonian Structure And New Solutions Of KdV6 Equation , Lett. Math. Phys., 86(2008)193-208.
  5. [5] A. Ramani, B. Grammaticos, R. Willox, Bilinearize And Solutions Of The KdV6 , Anal. Appl., 6(2008)401-412.
  6. [6] R. Hirota, Direct Methods In Soliton Theory, Springer, Berlin, 1980.
  7. [7] A. M. Wazwaz, The Integrable KdV6 Equations: Multiple Soliton Solutions And Multiple Singular Soliton Solutions , Appl. Math. Comput. 204(2008)963–972.
  8. [8] C. A. G´omez, A. Salas, The Cole-Hopf Transformation And Improved Tanh-coth Method Applied To New Integrable System (KdV6) , Appl. Math. Comput. 204(2008)957–962.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Zhao-hong Sun This is me

Wei Zhang This is me

Publication Date

December 1, 2013

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2013 Volume: 3 Number: 2

APA
Sun, Z.- hong, & Zhang, W. (2013). THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION. TWMS Journal of Applied and Engineering Mathematics, 3(2), 0-8. https://izlik.org/JA57FU74UY
AMA
1.Sun Z hong, Zhang W. THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION. JAEM. 2013;3(2):0-8. https://izlik.org/JA57FU74UY
Chicago
Sun, Zhao-hong, and Wei Zhang. 2013. “THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION”. TWMS Journal of Applied and Engineering Mathematics 3 (2): 0-8. https://izlik.org/JA57FU74UY.
EndNote
Sun Z- hong, Zhang W (December 1, 2013) THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION. TWMS Journal of Applied and Engineering Mathematics 3 2 0–8.
IEEE
[1]Z.- hong Sun and W. Zhang, “THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION”, JAEM, vol. 3, no. 2, pp. 0–8, Dec. 2013, [Online]. Available: https://izlik.org/JA57FU74UY
ISNAD
Sun, Zhao-hong - Zhang, Wei. “THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION”. TWMS Journal of Applied and Engineering Mathematics 3/2 (December 1, 2013): 0-8. https://izlik.org/JA57FU74UY.
JAMA
1.Sun Z- hong, Zhang W. THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION. JAEM. 2013;3:0–8.
MLA
Sun, Zhao-hong, and Wei Zhang. “THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION”. TWMS Journal of Applied and Engineering Mathematics, vol. 3, no. 2, Dec. 2013, pp. 0-8, https://izlik.org/JA57FU74UY.
Vancouver
1.Zhao-hong Sun, Wei Zhang. THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION. JAEM [Internet]. 2013 Dec. 1;3(2):0-8. Available from: https://izlik.org/JA57FU74UY