Journal
NONLINEAR DYNAMICS
Volume 111, Issue 6, Pages 5655-5669Publisher
SPRINGER
DOI: 10.1007/s11071-022-08106-x
Keywords
Dbar dressing method; Nonzero boundary conditions; The focusing Kundu-Eckhaus equation; Soliton solution
Categories
Ask authors/readers for more resources
The boundary value problem for the focusing Kundu-Eckhaus equation with nonzero boundary conditions is studied using the Dbar dressing method in this work. The soliton solution is investigated by introducing a Dbar problem with non-canonical normalization condition at infinity. The eigenfunction of the Dbar problem is used to construct the Lax pair of the Kundu-Eckhaus equation, which is crucial for further searching for soliton solutions. Moreover, the N-soliton solutions of the focusing Kundu-Eckhaus equation with nonzero boundary conditions are discussed based on symmetries and distribution.
The boundary value problem for the focusing Kundu-Eckhaus equation with nonzero boundary conditions is studied by the Dbar dressing method in this work. A Dbar problem with non-canonical normalization condition at infinity is introduced to investigate the soliton solution. The eigenfunction of Dbar problem is meromorphic outside annulus with center 0, which is used to construct the Lax pair of the Kundu-Eckhaus equation with nonzero boundary conditions, which is a crucial step to further search for the soliton solution. Furthermore, the original nonlinear evolution equation and conservation law are obtained by means of choosing a special distribution matrix. Moreover, the N-soliton solutions of the focusing Kundu-Eckhaus equation with nonzero boundary conditions are discussed based on the symmetries and distribution. As concrete examples, the dynamic behaviors of the one-breather solution and the two-breather solution are analyzed graphically by considering different parameters.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available