Abstract
The nonlocal nonlinear Schrödinger equation (NNLS) with distributed coefficients is investigated theoretically. With the aid of the similarity transformation method, the first-order self-similar breather solution is derived. Based on the solution, the dynamics of self-similar breathers in various systems has been graphically analyzed and discussed in detail. The results show that by regulating the parameters of the self-similar breather solution, it can be clearly observed some special phenomena and exhibits the multiple dynamics behaviors. The results can provide certain theoretical analysis for controlling local waves in nonlocal nonlinear media.
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