On quasiperiodic solutions of the modified Kadomtsev-Petviashvili hierarchy

Abstract In this paper, we present the construction of quasiperiodic solutions of the p th equation in the modified Kadomtsev–Petviashvili hierarchy by seeking compatible solutions of the 1th and the p th equations in the derivative nonlinear Schrodinger hierarchy.

[1]  Boris Konopelchenko,et al.  Some new integrable nonlinear evolution equations in 2 + 1 dimensions , 1984 .

[2]  Walter Oevel,et al.  GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS , 1993 .

[3]  Barry Simon,et al.  Explicit Construction of Solutions of the Modified Kadomtsev-Petviashvili Equation , 1991 .

[4]  G. Segal,et al.  Loop groups and equations of KdV type , 1985 .

[5]  E. Belokolos,et al.  Algebro-geometric approach to nonlinear integrable equations , 1994 .

[6]  Helge Holden,et al.  Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. , 2008, Philosophical transactions. Series A, Mathematical, physical, and engineering sciences.

[7]  A. Kamchatnov,et al.  LETTER TO THE EDITOR: On the Baker-Akhiezer function in the AKNS scheme , 2001 .

[8]  Fritz Gesztesy,et al.  On the (modified) Kadomtsev-Petviashvili hierarchy , 1995, Differential and Integral Equations.

[9]  Boris Konopelchenko,et al.  New reductions of the Kadomtsev–Petviashvili and two‐dimensional Toda lattice hierarchies via symmetry constraints , 1992 .

[10]  Boris Konopelchenko,et al.  On the gauge-invariant description of the evolution equations integrable by Gelfand-Dikij spectral problems , 1982 .

[11]  M. Jimbo,et al.  Solitons and Infinite Dimensional Lie Algebras , 1983 .

[12]  Xianguo Geng,et al.  Algebro-Geometric Solution to the Modified Kadomtsev-Petviashvili Equation , 2005 .

[13]  Engui Fan,et al.  Algebro-geometric solutions for the Gerdjikov-Ivanov hierarchy , 2013 .

[14]  Yi Cheng,et al.  Constraints of the 2+1 dimensional integrable soliton systems , 1992 .