Abstract
Starting from the matrix ∂̄ problem, the dressing method is employed to investigate the nonlocal nonlinear evolution equations. A hierarchy of nonlocal nonlinear evolution equations associated with 2 × 2 matrix problem, which contains the nonlocal extended modified Korteweg–de Vries (emKdV) equation, is derived via using recursive operator for the first time. Finally, via selecting a proper spectral transformation matrix, the N-soliton solutions of the nonlocal emKdV equation are constructed based on the matrix ∂̄ problem.
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