Back to Search
Start Over
Novel Solitary Pulses for a Variable-Coefficient Derivative Nonlinear Schrödinger Equation
- Source :
- Journal of the Physical Society of Japan. 76:074004
- Publication Year :
- 2007
- Publisher :
- Physical Society of Japan, 2007.
-
Abstract
- A derivative nonlinear Schrodinger equation with variable coefficient is considered. Special exact solutions in the form of a solitary pulse are obtained by the Hirota bilinear transformation. The essential ingredients are the identification of a special chirp factor and the use of wavenumbers dependent on time or space. The inclusion of damping or gain is necessary. The pulse may then undergo broadening or compression. Special cases, namely, exponential and algebraic dispersion coefficients, are discussed in detail. The case of exponential dispersion also permits the existence of a 2-soliton. This provides a strong hint for special properties, and suggests that further tests for integrability need to be performed. Finally, preliminary results on other types of exact solutions, e.g., periodic wave patterns, are reported.
- Subjects :
- Physics
Mathematical analysis
General Physics and Astronomy
Schrödinger equation
Exponential function
Pulse (physics)
symbols.namesake
Exact solutions in general relativity
Chirp
symbols
Bilinear transform
Soliton
Nonlinear Sciences::Pattern Formation and Solitons
Nonlinear Schrödinger equation
Mathematical physics
Subjects
Details
- ISSN :
- 13474073 and 00319015
- Volume :
- 76
- Database :
- OpenAIRE
- Journal :
- Journal of the Physical Society of Japan
- Accession number :
- edsair.doi...........f6c5503fa282f14a56e32edf7c70b576