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Your search keyword '"Rong-Rong Jia"' showing total 2 results
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2 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. 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

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