Nonparaxial elliptic waves and solitary waves in coupled nonlinear Helmholtz equations

作者：Tamilselvan K; Kanna T^*; Khare Avinash

来源：Communications in Nonlinear Science & Numerical Simulation, 2016, 39: 134-148.

DOI：10.1016/j.cnsns.2016.02.040

• Coupled nonlinear Helmholtz system
• Jacobi elliptic function
• Lame polynomials
• Solitary waves

We obtain a class of elliptic wave solutions of coupled nonlinear Helmholtz (CNLH) equations describing nonparaxial ultra-broad beam propagation in nonlinear Kerr-like media, in terms of the Jacobi elliptic functions and also discuss their limiting forms (hyperbolic solutions). Especially, we show the existence of non-trivial solitary wave profiles in the CNLH system. The effect of nonparaxiality on speed, pulse width and amplitude of the nonlinear waves is analyzed in detail. Particularly, a mechanism for tuning the speed by altering the nonparaxial parameter is proposed. We also identify a novel phase-unlocking behavior due to the presence of nonparaxial parameter.

• 出版日期2016-10