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1

The Camassa-Holm equation as the long-wave limit of the improved Boussinesq equation and of a class of nonlocal wave equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 11, Pages : 6101 - 6116, 2016

H. A. Erbay - (email), S. Erbay - (email), A. Erkip - (email)

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2

Groups of asymptotic diffeomorphisms

Discrete and Continuous Dynamical Systems  Volume 36, Issue 11, Pages : 6331 - 6377, 2016

Robert McOwen - (email), Peter Topalov - (email)

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3

Existence and uniqueness of global weak solutions of the Camassa-Holm equation with a forcing

Discrete and Continuous Dynamical Systems  Volume 36, Issue 9, Pages : 5201 - 5221, 2016

Shihui Zhu - (email)

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4

A note on the convergence of the solutions of the Camassa-Holm equation to the entropy ones of a scalar conservation law

Discrete and Continuous Dynamical Systems  Volume 36, Issue 6, Pages : 2981 - 2990, 2015

Giuseppe Maria Coclite - (email), Lorenzo di Ruvo - (email)

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5

A nonlinear generalization of the Camassa-Holm equation with peakon solutions

DCDS Supplements  Volume 2015, Issue special, Pages : 29 - 37, 2015

Stephen C. Anco - (email), Elena Recio - (email), María L. Gandarias - (email), María S. Bruzón - (email)

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6

An equation unifying both Camassa-Holm and Novikov equations

DCDS Supplements  Volume 2015, Issue special, Pages : 304 - 311, 2015

Priscila Leal da Silva - (email), Igor Leite Freire - (email)

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7

Asymptotics in shallow water waves

Discrete and Continuous Dynamical Systems  Volume 35, Issue 7, Pages : 3103 - 3131, 2015

Robert McOwen - (email), Peter Topalov - (email)

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8

Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 25 - 42, 2014

Alberto Bressan - (email), Geng Chen - (email), Qingtian Zhang - (email)

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9

On the quasi-periodic solutions of generalized Kaup systems

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 467 - 482, 2014

Claudia Valls - (email)

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10

Structural stability for the splash singularities of the water waves problem

Discrete and Continuous Dynamical Systems  Volume 34, Issue 12, Pages : 4997 - 5043, 2014

Angel Castro - (email), Diego Córdoba - (email), Charles Fefferman - (email), Francisco Gancedo - (email), Javier Gómez-Serrano - (email)

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11

Existence theory of capillary-gravity waves on water of finite depth

Mathematical Control and Related Fields  Volume 4, Issue 3, Pages : 315 - 363, 2014

Shu-Ming Sun - (email)

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12

Introduction

Discrete and Continuous Dynamical Systems  Volume 34, Issue 8, Pages : i - iii, 2014

Adrian Constantin - (email)

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13

One-dimensional weakly nonlinear model equations for Rossby waves

Discrete and Continuous Dynamical Systems  Volume 34, Issue 8, Pages : 3025 - 3034, 2014

David Henry - (email), Rossen Ivanov - (email)

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14

Steady stratified periodic gravity waves with surface tension I: Local bifurcation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 8, Pages : 3241 - 3285, 2014

Samuel Walsh - (email)

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15

Steady stratified periodic gravity waves with surface tension II: Global bifurcation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 8, Pages : 3287 - 3315, 2014

Samuel Walsh - (email)

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16

On the higher-order b-family equation and Euler equations on the circle

Discrete and Continuous Dynamical Systems  Volume 34, Issue 7, Pages : 3013 - 3024, 2013

Min Zhu - (email)

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17

Convergence analysis of the vortex blob method for the $b$-equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 5, Pages : 1995 - 2011, 2013

Yong Duan - (email), Jian-Guo Liu - (email)

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18

Vorticity jumps in steady water waves

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 4, Pages : 1101 - 1112, 2012

Walter A. Strauss - (email)

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19

Well-posedness of a model for water waves with viscosity

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 4, Pages : 1113 - 1137, 2012

David M. Ambrose - (email), Jerry L. Bona - (email), David P. Nicholls - (email)

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20

Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity

Communications on Pure and Applied Analysis  Volume 11, Issue 4, Pages : 1397 - 1406, 2012

Adrian Constantin - (email)

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21

A selection of nonlinear problems in water waves, analysed by perturbation-parameter techniques

Communications on Pure and Applied Analysis  Volume 11, Issue 4, Pages : 1497 - 1522, 2012

R. S. Johnson - (email)

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22

On the symmetry of steady periodic water waves with stagnation points

Communications on Pure and Applied Analysis  Volume 11, Issue 4, Pages : 1577 - 1586, 2012

Gerhard Tulzer - (email)

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23

Discrete and continuous random water wave dynamics

Discrete and Continuous Dynamical Systems  Volume 28, Issue 4, Pages : 1603 - 1633, 2010

André Nachbin - (email)

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24

Well-posedness and blow-up phenomena for the interacting system of the Camassa-Holm and Degasperis-Procesi equations

Discrete and Continuous Dynamical Systems  Volume 27, Issue 3, Pages : 1025 - 1035, 2010

Ying Fu - (email), Changzheng Qu - (email), Yichen Ma - (email)

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25

On the non-integrability of the Popowicz peakon system

DCDS Supplements  Volume 2009, Issue Special, Pages : 359 - 366, 2009

Andrew N. W. Hone - (email), Michael V. Irle - (email)

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26

Stability of multi antipeakon-peakons profile

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 3, Pages : 561 - 577, 2009

Khaled El Dika - (email), Luc Molinet - (email)

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27

Generalised Fourier transform and perturbations to soliton equations

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 3, Pages : 579 - 595, 2009

Georgi Grahovski - (email), Rossen Ivanov - (email)

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28

Global weak solutions to the Camassa-Holm equation

Discrete and Continuous Dynamical Systems  Volume 21, Issue 3, Pages : 883 - 906, 2008

Zhenhua Guo - (email), Mina Jiang - (email), Zhian Wang - (email), Gao-Feng Zheng - (email)

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29

Nonlinear dynamics on centre manifolds describing turbulent floods: k-$\omega$ model

DCDS Supplements  Volume 2007, Issue Special, Pages : 419 - 428, 2007

D.J. Georgiev - (email), A. J. Roberts - (email), D. V. Strunin - (email)

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30

Deep-water waves with vorticity: symmetry and rotational behaviour

Discrete and Continuous Dynamical Systems  Volume 19, Issue 3, Pages : 483 - 491, 2007

Mats Ehrnström - (email)

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31

On unique continuation for the modified Euler-Poisson equations

Discrete and Continuous Dynamical Systems  Volume 19, Issue 3, Pages : 515 - 529, 2007

A. Alexandrou Himonas - (email), Gerard Misiołek - (email), Feride Tiǧlay - (email)

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32

Variational derivation of the Camassa-Holm shallow water equation with non-zero vorticity

Discrete and Continuous Dynamical Systems  Volume 19, Issue 3, Pages : 531 - 543, 2007

Delia Ionescu-Kruse - (email)

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33

Wellposedness for a parabolic-elliptic system

Discrete and Continuous Dynamical Systems  Volume 13, Issue 3, Pages : 659 - 682, 2005

Giuseppe Maria Coclite - (email), Helge Holden - (email), Kenneth H. Karlsen - (email)

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34

Stability of solitary waves for a nonlinearly dispersive equation

Discrete and Continuous Dynamical Systems  Volume 10, Issue 3, Pages : 709 - 717, 2004

H. Kalisch - (email)

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35

Convergence of a boundary integral method for 3-D water waves

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 1, Pages : 1 - 34, 2001

Thomas Y. Hou - (email), Pingwen Zhang - (email)

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