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Breathers and Rogue Waves for the Fourth-Order Nonlinear Schrödinger Equation

  • Yan Zhang , Yinping Liu EMAIL logo and Xiaoyan Tang
Published/Copyright: March 16, 2017
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 72 Issue 4

Abstract:

In this article, a generalized Darboux transformation for the fourth-order nonlinear Schrödinger equation is constructed in terms of Darboux matrix method. Subsequently, breathers and the Nth-order rogue wave solutions of this equation are explicitly given in the light of the obtained Darboux transformation. Finally, we concretely discuss the dynamics of the obtained rogue waves, which are also demonstrated by some figures.

Keywords:: Breathers; Fourth-order Nonlinear Schrödinger Equation; Generalized Darboux transformation; Rogue Waves

Acknowledgements

The work is supported by the National Natural Science Foundation of China (Nos. 11435005, 11475052 and 11275123), Shanghai Knowledge Service Platform for Trustworthy Internet of Things (No. ZF1213).

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Supplemental Material:

The online version of this article (DOI: 10.1515/zna-2016-0438) offers supplementary material, available to authorized users.

Received: 2016-11-14
Accepted: 2017-1-6
Published Online: 2017-3-16
Published in Print: 2017-4-1

©2017 Walter de Gruyter GmbH, Berlin/Boston

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  2. On Type-II Bäcklund Transformation for the MKdV Hierarchy
  3. Elastic Properties and Electronic Structure of WS2 under Pressure from First-principles Calculations
  4. Study of Caking of Powders Using NQR Relaxometry with Inversion of the Laplace Transform
  5. Rogue Waves and Hybrid Solutions of the Boussinesq Equation
  6. Exact Solution for Capillary Bridges Properties by Shooting Method
  7. Structural, Electronic, and Mechanical Properties of CoN and NiN: An Ab Initio Study
  8. On the Heisenberg Supermagnet Model in (2+1)-Dimensions
  9. Breathers and Rogue Waves for the Fourth-Order Nonlinear Schrödinger Equation
  10. Study on the Spectrum of Photonic Crystal Cavity and Its Application in Measuring the Concentration of NaCl Solution
  11. Potential Systems and Nonlocal Conservation Laws of Prandtl Boundary Layer Equations on the Surface of a Sphere
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https://doi.org/10.1515/zna-2016-0438
Keywords for this article
Breathers; Fourth-order Nonlinear Schrödinger Equation; Generalized Darboux transformation; Rogue Waves

Articles in the same Issue

  1. Frontmatter
  2. On Type-II Bäcklund Transformation for the MKdV Hierarchy
  3. Elastic Properties and Electronic Structure of WS2 under Pressure from First-principles Calculations
  4. Study of Caking of Powders Using NQR Relaxometry with Inversion of the Laplace Transform
  5. Rogue Waves and Hybrid Solutions of the Boussinesq Equation
  6. Exact Solution for Capillary Bridges Properties by Shooting Method
  7. Structural, Electronic, and Mechanical Properties of CoN and NiN: An Ab Initio Study
  8. On the Heisenberg Supermagnet Model in (2+1)-Dimensions
  9. Breathers and Rogue Waves for the Fourth-Order Nonlinear Schrödinger Equation
  10. Study on the Spectrum of Photonic Crystal Cavity and Its Application in Measuring the Concentration of NaCl Solution
  11. Potential Systems and Nonlocal Conservation Laws of Prandtl Boundary Layer Equations on the Surface of a Sphere
  12. Density and Adiabatic Compressibility of the Immiscible Molten AgBr+LiCl Mixture
  13. Kaluza–Klein Bulk Viscous Fluid Cosmological Models and the Validity of the Second Law of Thermodynamics in f(R, T) Gravity
  14. Tungsten Sulfide Nanoflakes: Synthesis by Electrospinning and Their Gas Sensing Properties
  15. Crystal Structure and Bonding Analysis of (La0.8Ca0.2)(Cr0.9−x Co0.1Cux)O3 Ceramics
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