Peregrine solitons and algebraic soliton pairs in Kerr media considering space-time correction
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Publication:5964676
DOI10.1016/j.physleta.2014.02.042zbMath1331.37103OpenAlexW2017975224MaRDI QIDQ5964676
Publication date: 1 March 2016
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2014.02.042
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Related Items (12)
A higher-order coupled nonlinear Schrödinger system: solitons, breathers, and rogue wave solutions ⋮ Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line ⋮ Higher-order algebraic soliton solutions of the Gerdjikov-Ivanov equation: asymptotic analysis and emergence of rogue waves ⋮ General soliton solutions to a coupled Fokas-Lenells equation ⋮ Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems ⋮ Peregrine rogue wave dynamics in the continuous nonlinear Schrödinger system with parity-time symmetric Kerr nonlinearity ⋮ Degeneracy in bright-dark solitons of the derivative nonlinear Schrödinger equation ⋮ Rogue wave solutions of the vector Lakshmanan-Porsezian-Daniel equation ⋮ General rogue wave solutions of the coupled Fokas–Lenells equations and non-recursive Darboux transformation ⋮ Higher-order rogue wave solutions of a general coupled nonlinear Fokas-Lenells system ⋮ Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation ⋮ Contrast of optical activity and rogue wave propagation in chiral materials
Cites Work
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- A direct method of solution for the Fokas–Lenells derivative nonlinear Schrödinger equation: I. Bright soliton solutions
- Water waves, nonlinear Schrödinger equations and their solutions
- A direct method of solution for the Fokas–Lenells derivative nonlinear Schrödinger equation: II. Dark soliton solutions
- Exactly Solvable Model for Nonlinear Pulse Propagation in Optical Fibers
- Some homoclinic connections of a novel integrable generalized nonlinear Schrödinger equation
- Dynamical criteria for rogue waves in nonlinear Schrödinger models
- On a novel integrable generalization of the nonlinear Schrödinger equation
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