Journal
JOURNAL OF GEOMETRY AND PHYSICS
Volume 167, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.geomphys.2021.104291
Keywords
Kundu-Eckhaus equation; partial derivative-dressing method; Lax pair; Soliton solution
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Funding
- National Natural Science Foundation of China [11671095, 51879045]
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The spatial and time spectral problems associated with the Kundu-Eckhaus (KE) equation are derived via linear constraint equations, a KE hierarchy with source is proposed, N-solitons of the KE equation are constructed, and explicit one- and two-soliton solutions are obtained.
Starting from a local 2 x 2 matrix partial derivative-equation with non-normalization boundary conditions, the spatial and time spectral problems associated with the Kundu-Eckhaus (KE) equation are derived via two linear constraint equations. The gauge equivalence among the KE equation, NLS equation and Heisenberg chain equation are given. A KE hierarchy with source is proposed by using recursive operator. The N-solitions of the KE equation are constructed based the partial derivative-equation by choosing a special spectral transformation matrix. Further the explicit one- and two-soliton solutions are obtained. (C) 2021 Elsevier B.V. All rights reserved.
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