TITLE:
New Exact Solutions of the (2 + 1)-Dimensional AKNS Equation
AUTHORS:
Yepeng Sun
KEYWORDS:
(2 + 1)-Dimensional AKNS Equation, Rational Solutions, Matveev Solutions, Complexitons
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.11,
November
20,
2015
ABSTRACT:
N-soliton solutions and the bilinear form of the (2 + 1)-dimensional AKNS equation are obtained by using the Hirota method. Moreover, the double Wronskian solution and generalized double Wronskian solution are constructed through the Wronskian technique. Furthermore, rational solutions, Matveev solutions and complexitons of the (2 + 1)-dimensional AKNS equation are given through a matrix method for constructing double Wronskian entries. The three solutions are new.