Abstract
AbstractIn this paper, we propose the nonlocal sine-Gordon equation from the AKNS system by the Parity and the Time symmetries. Moreover, the main work is to construct the Darboux transformation for the nonlocal sine-Gordon equation. In particular, various types of solutions are obtained by taking a seed solution, such as, soliton solutions, kink solutions, mixed solutions.
Publisher
Springer Science and Business Media LLC
Reference36 articles.
1. M.J. Ablowitz, D.J. Kaup, A.C. Newell, H. Segur, Nonlinear-evolution equations of physical significance. Phys. Rev. Lett. 31, 125–127 (1973)
2. Z.J. Qiao, Two new hierarchies containing the sine-Gordon and sinh-Gordon equation, and their Lax representations. Phys. A 243, 141–151 (1997)
3. A.M. Wazwaz, L. Kaur, Optical solitons and Peregrine solitons for nonlinear Schrödinger equation by variational iteration method. Optick 179, 804–809 (2019)
4. S. Singh, L. Kaur, K. Sakkaravarthi, R. Sakthivel, K. Murugesan, Dynamics of higher-order bright and dark rogue waves in a new (2+1)-dimensional integrable Boussinesq model. Phys. Scr. 95, 115213 (2020)
5. A.M. Wazwaz, L. Kaur, New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions. Nonlinear Dyn. 97, 83–94 (2019)
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