Special Issue "Optical Soliton Solution for Nonlinear Partial Differential Equations – In Memory of Erwin Schrödinger’s 136th Birthday"
Deadline for manuscript submissions: 30 September 2023 | Viewed by 272
Interests: optical soliton solutions for NLPDES
Dispersive optical soliton solutions in magneto-optic waveguides, birefringent fibers, Bragg gratings fibers for perturbed nonlinear partial differential equations (NLPDEs) are considered cubic-quartic. Highly dispersive optical soliton solutions are considered cubic-quartic too. For example, the nonlinear Schrodinger equation (NLSE), Fokas–Lenells (FL) equation, Lakshmanan–Porsezian–Daniel (LPD) equation, the generalized Sasa–Satsuma (GSS) equation, Radhakrishnan–Kundu–Lakshmanan (RKL) equation, Manakov equation, the generalized Schrodinger–Hirota equation (GSH), Kundu–Eckhaus (KE) equation, Biswas–Milovic (BM) equation, Biswas–Arshed (BA) equation, the DWDM system of equations, and the Gerdjikov–Ivanov (GI) equation together with 14 types of nonlinear forms, namely:
- The Kerr law of nonlinearity;
- The power law of nonlinearity;
- The parabolic law of nonlinearity;
- The dual power law of nonlinearity;
- The quadratic-cubic law of nonlinearity;
- The polynomial law of nonlinearity;
- The non-local law of nonlinearity;
- The parabolic non-local law of nonlinearity;
- The anti-cubic law of nonlinearity;
- The generalized anti-cubic law of nonlinearity;
- The triple power law of nonlinearity;
- Kudryashov's form of refractive index;
- Kudryashov's sextic power law of nonlinearity;
- The generalized Kudryashov law of refractive index.
There are many mathematical methods to find the soliton solutions (dark solitons, bright solitons, and singular solitons) and many other solutions of many nonlinear partial differential equations. Some of these use symmetry theory and symmetry properties. Finally, we have discussed all the above models by adding stochastic terms, having multiplicative white noise. Please note that all submitted papers must be within the general scope of the Symmetry journal.
Prof. Dr. Elsayed M.E. Zayed
Dr. Mohamed E.M. Alngar
Manuscript Submission Information
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