Rogue Waves and Hybrid Solutions of the Boussinesq Equation
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Ji-Guang Rao
Abstract
The rational and semirational solutions in the Boussinesq equation are obtained by the Hirota bilinear method and long wave limit. It is shown that the rational solutions contain dark and bright rogue waves, and their typical dynamics are analysed and illustrated. The semirational solutions possess a range of hybrid solutions, and the hybrid of rogue wave and solitons are demonstrated in detail by the three-dimensional figures. Under certain parameter conditions, a new kind of semirational solutions consisted of rogue waves, breathers and solitons is discovered, which describes the dynamics of the rogue waves interacting with the breathers and solitons at the same time.
Acknowledgment
This work is supported by the NSF of China under Grant No.11271210, the K. C. Wong Magna Fund in Ningbo University.
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Articles in the same Issue
- Frontmatter
- On Type-II Bäcklund Transformation for the MKdV Hierarchy
- Elastic Properties and Electronic Structure of WS2 under Pressure from First-principles Calculations
- Study of Caking of Powders Using NQR Relaxometry with Inversion of the Laplace Transform
- Rogue Waves and Hybrid Solutions of the Boussinesq Equation
- Exact Solution for Capillary Bridges Properties by Shooting Method
- Structural, Electronic, and Mechanical Properties of CoN and NiN: An Ab Initio Study
- On the Heisenberg Supermagnet Model in (2+1)-Dimensions
- Breathers and Rogue Waves for the Fourth-Order Nonlinear Schrödinger Equation
- Study on the Spectrum of Photonic Crystal Cavity and Its Application in Measuring the Concentration of NaCl Solution
- Potential Systems and Nonlocal Conservation Laws of Prandtl Boundary Layer Equations on the Surface of a Sphere
- Density and Adiabatic Compressibility of the Immiscible Molten AgBr+LiCl Mixture
- Kaluza–Klein Bulk Viscous Fluid Cosmological Models and the Validity of the Second Law of Thermodynamics in f(R, T) Gravity
- Tungsten Sulfide Nanoflakes: Synthesis by Electrospinning and Their Gas Sensing Properties
- Crystal Structure and Bonding Analysis of (La0.8Ca0.2)(Cr0.9−x Co0.1Cux)O3 Ceramics
Articles in the same Issue
- Frontmatter
- On Type-II Bäcklund Transformation for the MKdV Hierarchy
- Elastic Properties and Electronic Structure of WS2 under Pressure from First-principles Calculations
- Study of Caking of Powders Using NQR Relaxometry with Inversion of the Laplace Transform
- Rogue Waves and Hybrid Solutions of the Boussinesq Equation
- Exact Solution for Capillary Bridges Properties by Shooting Method
- Structural, Electronic, and Mechanical Properties of CoN and NiN: An Ab Initio Study
- On the Heisenberg Supermagnet Model in (2+1)-Dimensions
- Breathers and Rogue Waves for the Fourth-Order Nonlinear Schrödinger Equation
- Study on the Spectrum of Photonic Crystal Cavity and Its Application in Measuring the Concentration of NaCl Solution
- Potential Systems and Nonlocal Conservation Laws of Prandtl Boundary Layer Equations on the Surface of a Sphere
- Density and Adiabatic Compressibility of the Immiscible Molten AgBr+LiCl Mixture
- Kaluza–Klein Bulk Viscous Fluid Cosmological Models and the Validity of the Second Law of Thermodynamics in f(R, T) Gravity
- Tungsten Sulfide Nanoflakes: Synthesis by Electrospinning and Their Gas Sensing Properties
- Crystal Structure and Bonding Analysis of (La0.8Ca0.2)(Cr0.9−x Co0.1Cux)O3 Ceramics
