PURE-QUARTIC STATIONARY OPTICAL BULLETS FOR (3+1)-DIMENSIONAL NONLINEAR SCHRODINGER�S EQUATION WITH FOURTH-ORDER DISPERSIVE EFFECTS AND PARABOLIC LAW OF NONLINEARITY
Abdul–Majid Wazwaz
Abstract
This work addresses a (3+1)-dimensional nonlinear Schrdinger's equation with three fourth-order dispersive terms that usually give pure-quartic bullets.It is known that pure-quartic bullets, balanced by fourth-order dispersion and nonlinearity, differ from traditional solitons.We derive various solutions in the form of bright and dark optically modulated bullets.The solutions obtained are useful for exploring the transmission of bullets through optical nanofibers.
Topics & Concepts
Quartic functionNonlinear systemNonlinear Schrödinger equationOrder (exchange)PhysicsSchrödinger equationNonlinear opticalMathematical physicsMathematical analysisLawMathematicsQuantum mechanicsPure mathematicsPolitical scienceFinanceEconomicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies