论文信息 - New exact solutions for a generalization of the Korteweg-de Vries equation (KdV6)

New exact solutions for a generalization of the Korteweg-de Vries equation (KdV6)

The generalized tanh-coth method is used to construct periodic and soliton solutions for a new integrable system, which has been derived from an integrable sixth-order nonlinear wave equation (KdV6). The system is formed by two equations. One of the equations may be considered as a Korteweg-de Vries equation with a source and the second equation is a third-order linear differential equation.

Cesar Augusto Gómez Sierra | C. Sierra

[1] Abdul-Majid Wazwaz,et al. The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations , 2007, Appl. Math. Comput..

[2] S Gómez,et al. EXACT SOLUTIONS FOR A NEW FIFTH-ORDER INTEGRABLE SYSTEM , 2006 .

[3] Robert Conte,et al. Link between solitary waves and projective Riccati equations , 1992 .

[4] S. Sakovich,et al. Bäcklund transformation and special solutions for the Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations , 2001, nlin/0102001.

[5] B. Kupershmidt,et al. KdV6: An integrable system , 2007, 0709.3848.

[6] Sergei Sakovich,et al. A new integrable generalization of the Korteweg–de Vries equation , 2007, 0708.3247.

[7] A S Cesar Gómez,et al. Special forms of the fifth-order KdV equation with new periodic and soliton solutions , 2007 .

[8] Engui Fan,et al. Generalized tanh Method Extended to Special Types of Nonlinear Equations , 2002 .

[9] M. Tabor,et al. The Painlevé property for partial differential equations , 1983 .

[10] Willy Hereman,et al. Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs , 2002, J. Symb. Comput..

[11] M. Ablowitz,et al. Solitons, Nonlinear Evolution Equations and Inverse Scattering , 1992 .

[12] R. Hirota. Direct Methods in Soliton Theory (非線形現象の取扱いとその物理的課題に関する研究会報告) , 1976 .