Dynamics of dipole breathers in nonlinear media with a spatial exponential-decay nonlocality

By applying the variational approach, the analytical expression of dipole breathers is obtained in nonlinear media with an exponential-decay nonlocal response. The parameters of the width, the amplitude, the phase-front curvature, and the phase of the complex amplitude of the dipole breathers are al...

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Bibliographic Details
Published inNonlinear dynamics Vol. 80; no. 3; pp. 1081 - 1090
Main Authors Yang, Zhen-Jun, Dai, Zhi-Ping, Zhang, Shu-Min, Pang, Zhao-Guang
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.05.2015
Springer Nature B.V
Subjects
Amplitudes
Automotive Engineering
Breathers
Classical Mechanics
Computer simulation
Control
Curvature
Decay
Dipoles
Dynamical Systems
Engineering
Evolution
Exact solutions
Mechanical Engineering
Original Paper
Vibration
Nonlocal nonlinearity
Propagation dynamics
Dipole breather
Variational approach
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Summary:By applying the variational approach, the analytical expression of dipole breathers is obtained in nonlinear media with an exponential-decay nonlocal response. The parameters of the width, the amplitude, the phase-front curvature, and the phase of the complex amplitude of the dipole breathers are all given in analytical expressions. It is found that the input power plays a key role in the evolution of dipole breathers, whose magnitude decides the change of the beam width (compressed or broadened) during propagation. The physical reason for the evolution of dipole breathers is analyzed in detail. Numerical simulations are also carried out, and the analytical solutions are in good agreement with numerical simulations.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-1928-1