Abstract
In this paper, via the elementary Darboux transformation, we study the nonsingular localized wave solutions of the partially parity-time [Formula: see text] symmetric nonlocal Davey–Stewartson I equation with zero background. In addition to the common dromion and line-soliton solutions, we obtain some new localized wave solutions including the periodical-soliton, quasi-line-soliton and defected-line-soliton solutions. Meanwhile, we give the exact nonsingular parametric conditions for the derived solutions to display different localized wave structures. In addition, we discuss the dynamical behavior of the obtained nonlinear localized wave solutions with graphical illustration.
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