Periodic and quasi-periodic breather multi-solitons solutions, the dipole-type breather soliton solution, the rogue wave solution, and the fission soliton solution of the general nonlocal Schrödinger equation are derived by using the similarity transformation and manipulating the external potential function. The stability of the exact solitary wave solutions with the white noise perturbation also is investigated numerically.
© 2013 Optical Society of America
Original Manuscript: October 3, 2013
Revised Manuscript: November 22, 2013
Manuscript Accepted: November 25, 2013
Published: December 20, 2013
Ji Lin, Wei-wei Chen, and Jian Jia, "Abundant soliton solutions of general nonlocal nonlinear Schrödinger system with external field," J. Opt. Soc. Am. A 31, 188-195 (2014)