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] 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] B. A. Kupershmidt, KdV6: An Integrable System, Phys. Lett. A 372(2008)2634–2639.
- [3] B. A. Kupershmidt, A Super KdV Equation: An Integrable System, Phys. Lett. A 102(1984)213–215.
- [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] A. Ramani, B. Grammaticos, R. Willox, Bilinearize And Solutions Of The KdV6 , Anal. Appl., 6(2008)401-412.
- [6] R. Hirota, Direct Methods In Soliton Theory, Springer, Berlin, 1980.
- [7] A. M. Wazwaz, The Integrable KdV6 Equations: Multiple Soliton Solutions And Multiple Singular Soliton Solutions , Appl. Math. Comput. 204(2008)963–972.
- [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
-
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