论文信息 - Soliton solutions to the 3rd nonisospectral AKNS system

Soliton solutions to the 3rd nonisospectral AKNS system

Bilinear form of the nonisospectral AKNS equation is given. The N-soliton solutions and double Wronskian solution are obtained through Hirota's direct method and Wronskian technique, respectively. The nonisospectral MKdV equation and its multi-soliton solutions are presented by reducing.

[1] Wenxiu Ma,et al. Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations , 1992 .

[2] W. L. Chan,et al. Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation , 1989 .

[3] J. Nimmo,et al. The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form , 1984 .

[4] Hirota Ryogo,et al. N-Soliton Solution of the K-dV Equation with Loss and Nonuniformity Terms , 1976 .

[5] R. Hirota. Exact solution of the Korteweg-deVries equation for multiple collision of solitons , 1971 .

[6] M. R. Gupta,et al. Exact inverse scattering solution of a non-linear evolution equation in a non-uniform medium , 1979 .

[7] Deng-yuan Chen,et al. The exact solutions for the nonisospectral AKNS hierarchy through the inverse scattering transform , 2004 .

[8] Chen Deng-yuan,et al. Lie algebraic structure for the AKNS system , 1991 .

[9] J. Nimmo,et al. Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique , 1983, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[10] Yi Zhang,et al. The N -soliton solutions for the non-isospectral mKdV equation , 2004 .

[11] J. Nimmo,et al. Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: The wronskian technique , 1983 .