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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Solitons and Breathers in the modulus KdV equations
模量 KdV方程 孤子 呼吸器
2023/5/12
Compared to the soliton solutions, the breathers, which are constructed in the mKdV or Gardner equation via integrability methods, are less studied. In our numerical study, we show the interactions be...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent advance in breathers of Manakov equations
马纳科夫方程 呼吸 非线性耦合
2023/5/15
Manakov equations play a key role in understanding nonlinear coupling in many physical contents with different scales in time and space, including optics, cold atoms, crossing seas, and even financial...
No breathers theorem for some noncompact Ricci flows
No breathers theorem noncompact Ricci flows Differential Geometry
2012/5/24
Under suitable conditions near infinity and assuming boundedness of curvature tensor, we prove a no breathers theorem in the spirit of Ivey-Perelman for some noncompact Ricci flows. These include Ricc...
Discrete breathers on symmetry-determined invariant manifolds for scalar models on the plane square lattice
Discrete breathers symmetry-determined invariant manifolds scalar models plane square lattice
2011/7/5
A group-theoretical approach for studying localized periodic and quasiperiodic vibrations in 2D
and 3D lattice dynamical models is developed. This approach is demonstrated for the scalar mod-
els on...
Breathers and solitons of generalized nonlinear Schrodinger equations as degenerations of algebro-geometric solutions
Breathers solitons nonlinear Schrodinger equations Analysis of PDEs
2011/7/25
Abstract: We present new solutions in terms of elementary functions of the multi-component nonlinear Schr\"odinger equations and known solutions of the Davey-Stewartson equations such as multi-soliton...
Feigenbaum Cascade of Discrete Breathers in a Model of DNA
Feigenbaum Cascade of Discrete Breathers Model of DNA
2010/12/28
We demonstrate that period-doubled discrete breathers appear from the anti-continuum limit of
the driven Peyrard-Bishop-Dauxois model of DNA. These novel breathers result from a stability
overlap be...
Discrete breathers at the interface between a diatomic and monoatomic granular chain
Discrete breathers at the interface diatomic monoatomic granular chain
2010/12/28
In the present work, we develop a systematic examination of the existence, stability and dynamical properties of a discrete breather at the interface between a diatomic and a monoatomic granular chain...
Dissipative periodic waves, solitons and breathers of the nonlinear Schrodinger equation with complex potentials
periodic waves solitons the nonlinear Schrodinger equation
2010/11/18
Exact solutions for the generalized nonlinear Schr\"odinger (NLS) equation with inhomogeneous complex linear and nonlinear potentials are found. We have found localized and periodic solutions for a w...
Discrete Breathers in One-Dimensional Diatomic Granular Crystals
Discrete Breathers One-Dimensional Diatomic Granular Crystals
2010/4/7
We report the experimental observation of discrete breathers in a one-dimensional diatomic granular crystal composed of compressed elastic beads that interact via Hertzian contact. We first characteri...
Discrete Breathers in Lattices of Coupled Oscillators
discrete breather rotator
discrete sine-Gordon chain phase synchronization
2007/8/15
2001Vol.35No.2pp.137-142DOI:
Discrete Breathers in Lattices of Coupled Oscillators
ZHENG Zhi-Gang
Department of Physics, Beijing Normal University, Beijing 100875, China...