Asymmetric Dual Core Waveguides: Dynamics of Self-Similar Waves

Preface
Contents
1 Nonlinear Compression of Self-Similar Waves in Asymmetric Dual-Core Waveguides
	1.1 Introduction
	1.2 Asymmteric Dual-Core Waveguides
	1.3 Compression Problem
	1.4 Conclusion
	References
2 Chirped Self-Similar Waves in Asymmetric Twin-Core Fibers with Nonlinear Gain
	2.1 Introduction
	2.2 Self-Similar Propagation in Asymmetric TCF
	2.3 Exact Self-Similar Solutions
		2.3.1 Trigonometric Solution
		2.3.2 Pure Elliptic Solution
		2.3.3 Dark Solitary Wave
	2.4 Nonlinear Chirping
	2.5 Nonlinear Compression
	2.6 The Nonlinear Coherent Asymmetric Twin-Core Photonic Crystal Fiber Coupler
	2.7 Conclusion
	References
3 Controlling Optical Similaritons in Graded-Index Nonlinear Waveguide with an External Source
	3.1 Introduction
	3.2 Our Model
	3.3 Explicit Self-Similar Solutions
		3.3.1 Self-Focusing Nonlinearity σ=1
		3.3.2 Self-Focusing Nonlinearity σ=-1
	3.4 Conclusion
	References
4 Dynamical Behavior of Optical Similaritons in a Tapered Graded-Index Nonlinear Fiber Amplifier with an External Source
	4.1 Introduction
	4.2 Asymmetric TCF and Similariton Propagation
	4.3 Exact Self-Similar Solutions
		4.3.1 Self-Focusing Nonlinearity, σ=1
		4.3.2 Stability of the Exact Similaritons
		4.3.3 Self-Defocusing Nonlinearity, σ=-1
	4.4 Conclusion
	References
5 Controllable Approximate and Asymptotic Similaritons in Asymmetric Dual-Core Waveguide
	5.1 Introduction
	5.2 Similariton Propagation in TCF
	5.3 Controllable Behavior of Similaritons
		5.3.1 Dispersive Similaritons
		5.3.2 Rectangular Similaritons
	5.4 Stability of the Similaritons
	5.5 Self-Similar Evolutions of Trigonometric and Hermite–Gaussian …
	5.6 Our Model
	5.7 Asymptotic Novel Similaritons
		5.7.1 Trigonometric Similariton
		5.7.2 Hermite–Gauss similariton
	5.8 Conclusion
	References
6 Airy–Bessel Modulated Self-Similar Waves in Asymmetric Twin-Core Fiber Amplifiers
	6.1 Introduction
	6.2 Model Equation
	6.3 Self-Similar Wave Packets in Asymmetric Twin-Core Fibers
		6.3.1 Möbius Transform Wave Packet Similaritons for Self-Focusing Nonlinearity, σ=1
		6.3.2 Möbius Transform Similaritons for Self-Defocusing Nonlinearity, σ=-1
	6.4 Computer Simulations
	6.5 Conclusion
	References
7 Controlling Spatiotemporal Waves in Asymmetric Dual-Core Waveguides
	7.1 Introduction
	7.2 Self-Similar Propagation Through Asymmetric DWG
	7.3 Asymptotic Exact Self-Similar Solutions
	7.4 Conclusion
	References
8 Conclusions and Future Perspectives
Appendix  Matlab Codes