41 paper(s) uploaded by yizhu.

Index Title Upload Time Modified Time
1

Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schrödinger equations

Yi Zhu Center for Applied Mathematics (ZCAM), Tsinghua University, Beijing 100084 Jianke Yang Department of Mathematics and Statistics, University of Vermont, Burlington VT 05401

arXiv subject: Chaotic Dynamics (nlin.CD) mathscidoc:2204.80001

2007.3
[ Download ] [ 2022-04-21 10:34:45 uploaded by yizhu ] [ 39 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2022-04-21 10:34:45 -
2

A Universal Map for Fractal Structures in Weak Solitary Wave Interactions

Yi Zhu Center for Applied Mathematics (ZCAM), Tsinghua University, Beijing 100084, China Richard Haberman Department of Mathematics, Southern Methodist University, Dallas, Texas 75275, USA Jianke Yang Department of Mathematics and Statistics, University of Vermont, Burlington, VT 05401, USA

arXiv subject: Chaotic Dynamics (nlin.CD) mathscidoc:2204.80002

2008.2
[ Download ] [ 2022-04-21 10:38:37 uploaded by yizhu ] [ 62 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2022-04-21 10:38:37 -
3

Separatrix Map Analysis for Fractal Scatterings in Weak Interactions of Solitary Waves

Yi Zhu Center for Applied Mathematics (ZCAM), Tsinghua University, Beijing 100084, China Richard Haberman Department of Mathematics, Southern Methodist University, Dallas, Texas 75275, USA Jianke Yang Department of Mathematics and Statistics, University of Vermont, Burlington, VT 05401, USA

arXiv subject: Exactly Solvable and Integrable Systems (nlin.SI) mathscidoc:2204.71001

2009.3
[ Download ] [ 2022-04-21 10:46:58 uploaded by yizhu ] [ 40 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2022-04-21 10:46:58 -
4

Asymptotic Analysis of Pulse Dynamics in Mode-Locked Lasers

Mark J. Ablowitz Department of Applied Mathematics, University of Colorado, Boulder CO 80309 Theodoros P. Horikis University of Peloponnese, 22 100 Tripolis, Greece Sean D. Nixon Department of Mathematics, University of Colorado, Boulder CO 80309 Yi Zhu Department of Mathematics, University of Colorado, Boulder CO 80309

TBD mathscidoc:2204.43001

2009.5
[ Download ] [ 2022-04-21 11:01:50 uploaded by yizhu ] [ 39 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2022-04-21 11:01:50 -
5

A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schrödinger equations

Yi Zhu Center for Applied Mathematics (ZCAM), Tsinghua University, Beijing 100084, China Richard Haberman Department of Mathematics, Southern Methodist University, Dallas, TX 75275, USA Jianke Yang Department of Mathematics and Statistics, University of Vermont, Burlington, VT 05401, USA

TBD mathscidoc:2204.43002

2008.10
[ Download ] [ 2022-04-21 11:08:22 uploaded by yizhu ] [ 42 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2022-04-21 11:08:22 -
6

Nonlinear diffraction in photonic graphene

Mark J. Ablowitz Department of Applied Mathematics, University of Colorado, 526 UCB, Boulder, CO 80309-0526 Yi Zhu Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China

TBD mathscidoc:2204.43003

2012.1
[ Download ] [ 2022-04-21 11:22:12 uploaded by yizhu ] [ 40 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2022-04-21 11:22:12 -
7

On Tight Binding Approximations in Optical lattice

Mark J. Ablowitz Department of Applied Mathematics, University of Colorado, Boulder CO 80309 Christopher W. Curtis University of Colorado, Boulder CO 80309 Yi Zhu Tsinghua University, Beijing 100084, China

TBD mathscidoc:2204.43004

2012.1
[ Download ] [ 2022-04-21 11:25:10 uploaded by yizhu ] [ 56 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2022-04-21 11:25:10 -
8

Unified orbital description of the envelope dynamics in two-dimensional simple periodic lattices

M. J. Ablowitz University of Colorado, Boulder CO 80309 Yi Zhu Center for Applied Mathematics (ZCAM), Tsinghua University, Beijing 100084, China

TBD mathscidoc:2204.43005

2013.1
[ Download ] [ 2022-04-21 11:28:29 uploaded by yizhu ] [ 50 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2022-04-21 11:28:29 -
9

Nonlinear Wave Packets in Deformed Honeycomb Lattices

Mark J. Ablowitz Department of Applied Mathematics, University of Colorado, Boulder CO 80309 Yi Zhu Center for Applied Mathematics (ZCAM), Tsinghua University, Beijing 100084, China

TBD mathscidoc:2204.43006

2013.11
[ Download ] [ 2022-04-21 11:31:17 uploaded by yizhu ] [ 38 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2022-04-21 11:31:17 -
10

Dynamics in PT-Symmetric Honeycomb Lattices with Nonlinearity

Christopher W. Curtis partment of Mathematics and Statistics, SDSU, 5500 Campanile Dr., GMCS 415, San Diego 92182, USA Yi Zhu Center for Applied Mathematics (ZCAM), Tsinghua University, Beijing 100084, China

TBD mathscidoc:2204.43007

2015.11
[ Download ] [ 2022-04-21 11:35:17 uploaded by yizhu ] [ 39 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2022-04-21 11:35:17 -
 
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