Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Alternative coupled integrable optical soliton system with higher-order effects.

K Porsezian1

  • 1Raman School of Physics, Pondicherry University, Pondicherry 605 014, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 3, 2004
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Chirped self-similar solitary waves for the generalized nonlinear Schrödinger equation with distributed two-power-law nonlinearities.

Physical review. E·2019
Same author

Influence of spatial delay on the modulational instability in a composite system with a controllable nonlinearity.

Physical review. E·2018
Same author

Solitons in the nonlinear Schrödinger equation with two power-law nonlinear terms modulated in time and space.

Physical review. E·2017
Same author

Dynamics of vector dark solitons propagation and tunneling effect in the variable coefficient coupled nonlinear Schrödinger equation.

Chaos (Woodbury, N.Y.)·2017
Same author

Rogue wave triggered at a critical frequency of a nonlinear resonant medium.

Physical review. E·2016
Same author

Dynamical stability of dipolar Bose-Einstein condensates with temporal modulation of the s-wave scattering length.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

This study identifies conditions for exactly integrable soliton systems in nonlinear optical fibers. It presents new soliton solutions for a previously less-studied scenario.

Area of Science:

  • Nonlinear Optics
  • Mathematical Physics

Background:

  • Coupled Hirota equations model simultaneous field propagation in nonlinear optical fibers.
  • Higher-order linear and self-steepening effects are crucial in these systems.

Purpose of the Study:

  • To analyze the Painlevé singularity structure of the coupled Hirota equations.
  • To identify conditions under which the system is exactly integrable and exhibits soliton solutions.

Main Methods:

  • Painlevé singularity structure analysis.
  • Bilinear transformation method.

Main Results:

  • The coupled Hirota system is shown to be exactly integrable for three specific parameter choices.
  • Two known integrable conditions and one novel condition for soliton propagation were identified.

Related Experiment Videos

  • Soliton solutions for the novel condition were derived using bilinear forms.

    • Conclusions:

    • The coupled Hirota system possesses rich integrable properties.
    • New soliton solutions expand the understanding of nonlinear wave propagation in optical fibers.