Pure-quartic solitons in presence of weak nonlocality

• Published in: Physics letters. A Vol. 459; p. 128608
• Main Authors: Triki, Houria, Pan, Aimin, Zhou, Qin
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 29.01.2023
• Subjects: NLSE; Solitons; Weak nonlocality; NLSE; Weak nonlocality; Solitons
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/j.physleta.2022.128608

In this paper, we study the characteristics of pure-quartic optical solitons in a nonlinear medium having a weakly nonlocal response. We propose an nonlinear Schrödinger equation incorporating pure fourth-order diffraction, Kerr nonlinearity and weak nonlocality to describe the transmission of solitons in the system. We obtain analytic pure-quartic soliton solutions to this model in a variety of shapes and forms, unlike the case of the model without taking into account the weak nonlocal contribution. Besides, we find that the obtained localized structures have both bright and dark type waveforms in the transmission system. Interestingly, the functional forms of these solitons are expressed in terms of sech and tanh functions which do not possess oscillating tails, markedly different from the conventional pure-quartic solitons in the absence of weak nonlocality. These structures exist for both positive and negative quartic diffraction coefficient whereas pure-quartic solitons in the absence of nonlocality occur only for negative fourth-order dispersion. The numerical examples are presented for illustrating the soliton evolution dynamics in the optical waveguide. •Transmission of light beams through a pure-quartic diffraction material with Kerr nonlinearity is studied.•The weakly nonlocal response is considered.•Both bright and dark type waveforms in this transmission system are obtained.