TY - JOUR
T1 - Accessible solitons in three-dimensional parabolic cylindrical coordinates
AU - Zhong, Wei Ping
AU - Zhong, Wen Ye
AU - Belić, Milivoj
AU - Yang, Zhengping
N1 - Publisher Copyright:
© 2020 Elsevier B.V.
PY - 2020/12/30
Y1 - 2020/12/30
N2 - A class of self-similar beams, named three-dimensional (3D) spatiotemporal parabolic accessible solitons, are introduced in the 3D highly nonlocal nonlinear media. We obtain exact solutions of the 3D spatiotemporal linear Schrödinger equation in parabolic cylindrical coordinates by using the method of separation of variables. The 3D localized structures are constructed with the help of the confluent hypergeometric Tricomi functions and the Hermite polynomials. Based on such an exact solution, we graphically display three different types of 3D beams: the Gaussian solitons, the ring necklace solitons, and the parabolic solitons, by choosing different mode parameters. We also perform direct numerical simulation to discuss the stability of local solutions. The procedure we follow provides a new method for the manipulation of spatiotemporal solitons.
AB - A class of self-similar beams, named three-dimensional (3D) spatiotemporal parabolic accessible solitons, are introduced in the 3D highly nonlocal nonlinear media. We obtain exact solutions of the 3D spatiotemporal linear Schrödinger equation in parabolic cylindrical coordinates by using the method of separation of variables. The 3D localized structures are constructed with the help of the confluent hypergeometric Tricomi functions and the Hermite polynomials. Based on such an exact solution, we graphically display three different types of 3D beams: the Gaussian solitons, the ring necklace solitons, and the parabolic solitons, by choosing different mode parameters. We also perform direct numerical simulation to discuss the stability of local solutions. The procedure we follow provides a new method for the manipulation of spatiotemporal solitons.
KW - Nonlocal nonlinear media
KW - Parabolic cylindrical coordinates
KW - Spatiotemporal accessible solitons
UR - http://www.scopus.com/inward/record.url?scp=85092051202&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2020.126914
DO - 10.1016/j.physleta.2020.126914
M3 - Article
AN - SCOPUS:85092051202
SN - 0375-9601
VL - 384
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 36
M1 - 126914
ER -