Complex short pulse and coupled complex short pulse equations

By B. Feng. 2013

133 citations recorded by the source corpus.

Abstract In the present paper, we propose a complex short pulse equation and a coupled complex short equation to describe ultra-short pulse propagation in optical fibers. They are integrable due to the existence of Lax pairs and infinite number of conservation laws. Furthermore, we find their multi-soliton solutions in terms of pfaffians by virtue of Hirota’s bilinear method. One- and two-soliton solutions are investigated in details, showing favorable properties in modeling ultra-short pulses with a few optical cycles. Especially, same as the coupled nonlinear Schrodinger equation, there is an interesting phenomenon of energy redistribution in soliton interactions. It is expected that, for the ultra-short pulses, the complex and coupled complex short pulses equation will play the same roles as the nonlinear Schrodinger equation and coupled nonlinear Schrodinger equation.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a417a9886c837958ea0c3cc4ee877db89b01db9c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Bo Yang
2. Liming Ling
3. Zuo-nong Zhu
4. B. Feng
5. Yasuhiro Ohta
6. Jianke Yang
7. Shoufeng Shen
8. Sergei K. Turitsyn

In Statistical and Nonlinear Physics

1. Bo Yang
2. B. Feng
3. Zuo-nong Zhu
4. Jianke Yang
5. Liming Ling
6. Yasuhiro Ohta
7. Shoufeng Shen
8. Sergei K. Turitsyn

Citations in the corpus

• Transformations between Nonlocal and Local Integrable Equations (2017, background): “As the first example, we consider the integrable local complex short pulse (CSP) equation [35, 36],”
• From the Real and Complex Coupled Dispersionless Equations to the Real and Complex Short Pulse Equations (2016, background): “These solutions in determinant form should be equivalent to the solutions in pfaffian given in [31].”
• Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation (2015, methodology): “The N-bright soliton solution should be equivalent to the ones found by one of the authors [31,33], the N-breather solution and higher order roguewave solution to the CSP equation are found for the first time and deserve further study.”