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Higher-Order Soliton Solutions for the Derivative Nonlinear Schrödinger Equation via Improved Riemann–Hilbert Method

  • Yonghui Kuang,
  • Lixin Tian

摘要

In this paper we discuss an improved Riemann–Hilbert method, by which arbitrary higher-order soliton solutions for the derivative nonlinear Schrödinger equation can be directly obtained. The explicit determinant form of a higher-order soliton which corresponds to one pth order pole is given. Besides the interaction related to one simple pole and the other one double pole is considered.