Self-similar optical pulses in competing cubic-quintic nonlinear media with distributed coefficients

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.023832· OSTI ID:21408330

Jiefang, Zhang ^[1]; Qing, Tian ^[2]; Yueyue, Wang; Chaoqing, Dai ^[3]; Lei, Wu ^[4]

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1. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua, Zhejiang 321004 (China)
2. Zhejiang Changzheng Professional and Technical College, Hangzhou, Zhejiang 310023 (China)
3. School of Sciences, Zhejiang Forestry University, Lin'an, Zhejiang 311300 (China)
4. Tianmu College, Zhejiang Forestry University, Lin'an 311300 (China)

We present a systematic analysis of the self-similar propagation of optical pulses within the framework of the generalized cubic-quintic nonlinear Schroedinger equation with distributed coefficients. By appropriately choosing the relations between the distributed coefficients, we not only retrieve the exact self-similar solitonic solutions, but also find both the approximate self-similar Gaussian-Hermite solutions and compact solutions. Our analytical and numerical considerations reveal that proper choices of the distributed coefficients could make the unstable solitons stable and could restrict the nonlinear interaction between the neighboring solitons.

• OSTI ID: 21408330
• Journal Information: Physical Review. A, Vol. 81, Issue 2; Other Information: DOI: 10.1103/PhysRevA.81.023832; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PULSES
SCHROEDINGER EQUATION
SOLITONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
WAVE EQUATIONS