Abstract
The Hirota bilinear method is applied to construct the new dynamics of complex N-soliton solutions for a nonlocal breaking equation. By using the auxiliary traveling wave function, the different-order soliton solutions, bifurcation solutions and lump solutions of the model are obtained. The complex variable for Hirota bilinear form of this breaking equation is derived firstly via logarithmic variable transform. The physical phenomena and soliton propagation behavior of these solutions are explored, and the obtained results verify the proposed soliton solutions.
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