Chirped self-similar waves for quadratic–cubic nonlinear Schrödinger equation
- Department of Physics, Panjab University, Chandigarh 160014 (India)
Highlights: •Chirped self-similar solutions for distributed quadratic–cubic NLSE are obtained. •Role of chirping in dynamics of self similar waves has been explained. •Importance of chirping has been demonstrated for different choices of system parameters i.e. dispersion and nonlinearity. •The results may be useful in studying the propagation of chirped self-similar waves in fibers, waveguides and BECs. -- Abstract: We have constructed analytical self-similar wave solutions for quadratic–cubic Nonlinear Schrödinger equation (QC-NLSE) by means of similarity transformation method. Then, we have investigated the role of chirping on these self-similar waves as they propagate through the tapered graded index waveguide. We have revealed that the chirping leads to interesting features and allows us to control the propagation of self-similar waves. This has been demonstrated for two cases (i) periodically distributed system and (ii) constant choice of system parameters. We expect our results to be useful in designing high performance optical devices.
- OSTI ID:
- 22848519
- Journal Information:
- Annals of Physics, Journal Name: Annals of Physics Vol. 387; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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