Search

Your search keyword '"Rong-Rong Jia"' showing total 4 results
Start Over Author "Rong-Rong Jia" Publisher elsevier bv
4 results on '"Rong-Rong Jia"'

1. Breather and rogue wave solutions for the (2+1)-dimensional nonlinear Schrödinger–Maxwell–Bloch equation

Author

Rong-Rong Jia and Rui Guo

Subjects
Breather, Applied Mathematics, 010102 general mathematics, One-dimensional space, Plane wave, 01 natural sciences, 010101 applied mathematics, Nonlinear system, symbols.namesake, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Bloch equations, symbols, 0101 mathematics, Rogue wave, Nonlinear Sciences::Pattern Formation and Solitons, Schrödinger's cat, Mathematics, Mathematical physics
Abstract

In this paper, we mainly study the (2+1)-dimensional Schrodinger–Maxwell–Blochequation (SMBE). We have constructed the generalized N-fold Darboux transformations (DT), and based on the plane wave solutions, the breather and rogue wave solutions are systematically generated, the dynamical features of those solutions are graphically represented.

Published
2019

2. New soliton solutions for the (2+1)-dimensional Schrödinger-Maxwell-Bloch equation

Author

Hui-Qin Hao, Run Zhou, and Rong-Rong Jia

Subjects
Physics, Zero (complex analysis), sine-Gordon equation, Condensed Matter Physics, 01 natural sciences, 010305 fluids & plasmas, symbols.namesake, Dissipative soliton, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Bloch equations, 0103 physical sciences, Lax pair, symbols, Peregrine soliton, General Materials Science, Soliton, Electrical and Electronic Engineering, Nonlinear Sciences::Pattern Formation and Solitons, 010301 acoustics, Schrödinger's cat, Mathematical physics
Abstract

In this paper, the (2+1)-dimensional Schrodinger-Maxwell-Bloch equation (SMBE) is analytically investigated. Based on the Lax pair, the two-fold Darboux transformation (DT) is constructed for this equation. In addition, the two different kinds of soliton solutions (multi-line soliton and multi-parabola soliton solutions) are derived under the zero background. Also, the dynamic characteristics of solitons are discussed through theoretical analysis and graphical description.

Published
2018

3. Rogue wave solutions for the (2+1)-dimensional complex modified Korteweg–de Vries and Maxwell–Bloch system

Author

Rui Guo and Rong-Rong Jia

Subjects
Correlative, Applied Mathematics, 010102 general mathematics, One-dimensional space, 01 natural sciences, 010101 applied mathematics, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Lax pair, Continuous wave, 0101 mathematics, Rogue wave, Focus (optics), Mathematics, Mathematical physics
Abstract

In this paper, we will focus on the (2+1)-dimensional complex modified Korteweg–de Vries and Maxwell–Bloch (cmKdVMB) system. According to the correlative Lax pair, the N-fold generalized Darboux Transformations (DT) will be constructed. By virtue of the DT obtained, some rogue wave solutions will be derived from the nonvanishing continuous wave (cw) backgrounds. Meanwhile, the dynamic features of those solutions are graphically analyzed.

Published
2020

4. Breather solutions and breather-to-soliton conversions for the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch equations

Author

Hui-Qin Hao and Rong-Rong Jia

Subjects
Physics, Breather, One-dimensional space, 02 engineering and technology, 021001 nanoscience & nanotechnology, 01 natural sciences, Atomic and Molecular Physics, and Optics, Electronic, Optical and Magnetic Materials, 010309 optics, Nonlinear Sciences::Exactly Solvable and Integrable Systems, 0103 physical sciences, Lax pair, Continuous wave, Maxwell-Bloch equations, Soliton, Electrical and Electronic Engineering, 0210 nano-technology, Focus (optics), Nonlinear Sciences::Pattern Formation and Solitons, Mathematical physics
Abstract

In this paper, we will focus on the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch (cmKdVMB) equations. According to the correlative Lax pair, the N-fold Darboux Transformations(DT) will be constructed. By virtue of the DT obtained, two different kinds of breather solutions and breather-to-soliton conversions will be derived from the nonvanishing continuous wave (cw) solutions. Meanwhile, the dynamic features of those solutions will be graphically analyzed.

Published
2020

Catalog

Books, media, physical & digital resources
See catalog results