Abstract
The existence and stability of fundamental and multipole solitons in Bessel potential are studied, including linear case, and nonlocal nonlinearity cases. For linear case, the eigenvalues and eigenfunction for different modulated depths of Bessel potential are obtained numerically. For nonlocal nonlinear cases, the existence and stability of fundamental and multipole solitons are studied. The results show that there exists a critical propagation constant b c of solitons, below which the solitons vanish. The value of b c is associated with the eigenvalue for linear case. It is found that nonlocality can expand the stability region of solitons. Fundamental and dipole solitons are stable in the whole region and the stable range of multipole solitons increase with increasing of the nonlocal degree.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
