References

EXACT SOLUTIONS FOR A NEW INTEGRABLE SYSTEM (KDV6)


[1] P. J. Caudrey, R. K. Dodd and J. D. Gibbon, A new heirarchy of Korteweg-de Vries equation, Proc. Roy. Soc. Lond. A 351 (1976), 407-422.

[2] J. M. Dye and A. Parker, On bidirectional nonlinear fifth-order nonlinear evolution equations, Lax pairs, and directionally dependent solitary waves, J. Math. Phys 42 (2001), 2567-2589.

[3] C. A. Gomez, Special forms of the fifth-order KdV equation with new periodic and soliton solutions, Appl. Math. Comp. 189 (2007), 1066-1077.

[4] A. Karasu Kalcanli, A. Karasu, A. Sakovich, S. Sakovich and R. Turhan, A new integrable generalization of the Korteweg-de Vries equation, ar.Xiv:nlin 0708.3247 v1.[nlin.SI] 23 Aug. 2007.

[5] A. Karasu-Kalcanli and S. Sakovich, Bäcklund transformation and special solutions for the Drinfeld-Sokolev-Satsuma-Hirota system of coupled equations, J. Phys. A Math. Gen. 34 (2001), 7355-7358.

[6] D. J. Kaup, On the inverse scattering problem for cubic eingevalue problems of the class Stud. Appl. Math. 62 (1980), 189-216.

[7] B. A. Kupershmidt, KdV6: An Integrable System, arXiv: nlin 0709.3848v1.[nlin.SI] 24 Sep. 2007.

[8] K. Sawada and T. Kotera, A method for finding N-soliton solutions for the KdV equation and Kdv-like equation, Prog. Theory, Phys. 51 (1974), 1355-1367.

[9] C. Verhoeven and M. Musette, Soliton solutions of two bidirectional sixth order partial differential equations belonging to the KP hierarchy, J. Phys. A Math. Gen. 36 (2003), L133-L143.

[10] A. M. Wazwaz, The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations, Appl. Math. Comput. 84(2) (2007), 1002-1014.