Families of nonsingular soliton solutions of a nonlocal Schrödinger–Boussinesq equation
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Nonlocal nonlinear evolution equations with self-induced parity–time symmetric potential have received intensive attention, due to their good applications in nonlinear optics. A nonlocal Schrödinger–Boussinesq equation is proposed in this paper. By using the Hirota bilinear method and the Kadomtsev–Petviashvili hierarchy reduction method, explicit soliton solution with the nonzero boundary condition is succinctly constructed in terms of determinant. Typical dynamics and asymptotic behaviours of three types of two-soliton solutions are discussed in detail.
KeywordsNonlocal Schrödinger–Boussinesq equation Soliton Bilinear method KP hierarchy reduction
This work is supported by the NSF of China under Grant Nos. 11501510 and 11601187.
Compliance with ethical standards
We declare we have no conflict of interests.
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