BibTex RIS Kaynak Göster

THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION

Yıl 2013, Cilt: 3 Sayı: 2, 0 - 8, 01.12.2013

Öz

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.

Kaynakça

  • [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.
  • [9] J. B. Li, Y. Zhang, The Exact Traveling Wave Solutions To Two Integrable KdV6 Equations , Chin. Ann. Math. 33B(2)(2012)179–190.
  • [10] D. Kaup, On The Inverse Scattrin Problem For The Cubic Eigenvalue Problems Of The Class Ψ3x + 6QΨx + 6RΨ = λΨ, Stud. Appl. Math. 62(1980)189–216.
  • [11] M. C. Cosgrove, Higher-order Painleve Equations In The Polynomial Class I. Bureau Sysmbol P2, Stud. Appl. Math. 104(2000)1–65.
Yıl 2013, Cilt: 3 Sayı: 2, 0 - 8, 01.12.2013

Öz

Kaynakça

  • [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.
  • [9] J. B. Li, Y. Zhang, The Exact Traveling Wave Solutions To Two Integrable KdV6 Equations , Chin. Ann. Math. 33B(2)(2012)179–190.
  • [10] D. Kaup, On The Inverse Scattrin Problem For The Cubic Eigenvalue Problems Of The Class Ψ3x + 6QΨx + 6RΨ = λΨ, Stud. Appl. Math. 62(1980)189–216.
  • [11] M. C. Cosgrove, Higher-order Painleve Equations In The Polynomial Class I. Bureau Sysmbol P2, Stud. Appl. Math. 104(2000)1–65.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Zhao-hong Sun Bu kişi benim

Wei Zhang Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 3 Sayı: 2

Kaynak Göster