Nonlinear evolution of the modulational instability under weak forcing and damping

Touboul, J.; Kharif, C.

doi:10.5194/nhess-10-2589-2010

Articles | Volume 10, issue 12

https://doi.org/10.5194/nhess-10-2589-2010

© Author(s) 2010. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue:

Extreme and rogue waves

https://doi.org/10.5194/nhess-10-2589-2010

© Author(s) 2010. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 10, issue 12

Research article

|

17 Dec 2010

Research article |

| 17 Dec 2010

Nonlinear evolution of the modulational instability under weak forcing and damping

J. Touboul and C. Kharif

Viewed

Total article views: 2,289 (including HTML, PDF, and XML)

HTML	PDF	XML	Total	BibTeX	EndNote
1,139	1,013	137	2,289	160	162

HTML: 1,139
PDF: 1,013
XML: 137
Total: 2,289
BibTeX: 160
EndNote: 162

Views and downloads (calculated since 01 Feb 2013)

Month	HTML	PDF	XML	Total
Feb 2013	1	16	3	20
Mar 2013	1	9	0	10
Apr 2013	2	90	0	92
May 2013	2	62	1	65
Jun 2013	3	11	0	14
Jul 2013	3	18	0	21
Aug 2013	11	19	0	30
Sep 2013	1	10	0	11
Oct 2013	5	19	1	25
Nov 2013	10	14	0	24
Dec 2013	3	6	2	11
Jan 2014	9	14	2	25
Feb 2014	5	11	3	19
Mar 2014	17	16	1	34
Apr 2014	3	13	1	17
May 2014	2	8	0	10
Jun 2014	1	11	0	12
Jul 2014	2	13	0	15
Aug 2014	5	12	1	18
Sep 2014	5	11	1	17
Oct 2014	1	15	0	16
Nov 2014	5	13	0	18
Dec 2014	3	10	2	15
Jan 2015	4	4	0	8
Feb 2015	5	1	0	6
Mar 2015	6	1	0	7
Apr 2015	3	1	0	4
May 2015	3	5	0	8
Jun 2015	23	10	0	33
Jul 2015	13	0	13
Aug 2015	8	8	0	16
Sep 2015	2	2	0	4
Oct 2015	6	1	0	7
Nov 2015	11	4	1	16
Dec 2015	3	1	2	6
Jan 2016	11	8	1	20
Feb 2016	8	6	0	14
Mar 2016	6	3	0	9
Apr 2016	7	2	0	9
May 2016	4	1	0	5
Jun 2016	3	2	0	5
Jul 2016	4	2	1	7
Aug 2016	2	7	0	9
Sep 2016	4	2	0	6
Oct 2016	2	3	0	5
Nov 2016	3	0	3
Dec 2016	5	3	0	8
Jan 2017	3	1	0	4
Feb 2017	3	1	0	4
Mar 2017	5	1	0	6
Apr 2017	7	6	0	13
May 2017	12	2	0	14
Jun 2017	9	4	0	13
Jul 2017	10	10	0	20
Aug 2017	5	10	1	16
Sep 2017	4	10	2	16
Oct 2017	3	4	0	7
Nov 2017	5	9	0	14
Dec 2017	8	8	2	18
Jan 2018	13	11	5	29
Feb 2018	6	4	0	10
Mar 2018	6	2	1	9
Apr 2018	9	4	0	13
May 2018	4	1	0	5
Jun 2018	8	2	1	11
Jul 2018	7	4	1	12
Aug 2018	12	7	1	20
Sep 2018	7	4	0	11
Oct 2018	8	8	0	16
Nov 2018	7	2	0	9
Dec 2018	6	6	0	12
Jan 2019	4	4	0	8
Feb 2019	3	3	0	6
Mar 2019	1	4	0	5
Apr 2019	2	2	0	4
May 2019	2	2	0	4
Jun 2019	7	5	0	12
Jul 2019	3	6	0	9
Aug 2019	2	0	2
Sep 2019	0
Oct 2019	3	2	1	6
Nov 2019	4	2	0	6
Dec 2019	2	3	0	5
Jan 2020	9	5	2	16
Feb 2020	4	3	0	7
Mar 2020	4	0	4
Apr 2020	2	4	0	6
May 2020	3	5	1	9
Jun 2020	11	2	0	13
Jul 2020	24	12	10	46
Aug 2020	5	7	5	17
Sep 2020	3	3	0	6
Oct 2020	5	4	0	9
Nov 2020	4	5	2	11
Dec 2020	6	4	0	10
Jan 2021	15	1	0	16
Feb 2021	3	1	0	4
Mar 2021	5	1	0	6
Apr 2021	1	1	0	2
May 2021	3	2	0	5
Jun 2021	4	1	0	5
Jul 2021	5	6	0	11
Aug 2021	5	0	5
Sep 2021	6	5	0	11
Oct 2021	5	18	0	23
Nov 2021	8	13	0	21
Dec 2021	10	1	0	11
Jan 2022	8	5	0	13
Feb 2022	3	2	2	7
Mar 2022	4	3	0	7
Apr 2022	8	4	2	14
May 2022	6	4	2	12
Jun 2022	5	2	0	7
Jul 2022	3	1	4
Aug 2022	7	5	0	12
Sep 2022	2	1	1	4
Oct 2022	4	2	1	7
Nov 2022	24	7	1	32
Dec 2022	8	5	1	14
Jan 2023	7	8	0	15
Feb 2023	5	4	0	9
Mar 2023	6	4	0	10
Apr 2023	4	1	0	5
May 2023	13	7	5	25
Jun 2023	3	1	0	4
Jul 2023	2	1	0	3
Aug 2023	7	5	3	15
Sep 2023	3	3	0	6
Oct 2023	5	5	0	10
Nov 2023	0
Dec 2023	9	1	2	12
Jan 2024	8	2	2	12
Feb 2024	4	4	2	10
Mar 2024	7	6	2	15
Apr 2024	13	3	1	17
May 2024	11	10	2	23
Jun 2024	8	2	2	12
Jul 2024	13	2	3	18
Aug 2024	15	3	3	21
Sep 2024	15	4	3	22
Oct 2024	25	4	1	30
Nov 2024	18	0	18
Dec 2024	16	5	21
Jan 2025	9	5	4	18
Feb 2025	13	3	0	16
Mar 2025	16	7	0	23
Apr 2025	4	4	1	9
May 2025	11	4	1	16
Jun 2025	29	11	0	40
Jul 2025	9	5	0	14
Aug 2025	16	5	0	21
Sep 2025	11	9	0	20
Oct 2025	23	9	2	34
Nov 2025	14	7	3	24
Dec 2025	24	23	2	49
Jan 2026	32	13	11	56
Feb 2026	14	12	4	30
Mar 2026	21	11	3	35
Apr 2026	2	5	1	8

Cumulative views and downloads (calculated since 01 Feb 2013)

Month	HTML	PDF	XML	Total
Feb 2013	1	16	3	20
Mar 2013	1	9	0	10
Apr 2013	2	90	0	92
May 2013	2	62	1	65
Jun 2013	3	11	0	14
Jul 2013	3	18	0	21
Aug 2013	11	19	0	30
Sep 2013	1	10	0	11
Oct 2013	5	19	1	25
Nov 2013	10	14	0	24
Dec 2013	3	6	2	11
Jan 2014	9	14	2	25
Feb 2014	5	11	3	19
Mar 2014	17	16	1	34
Apr 2014	3	13	1	17
May 2014	2	8	0	10
Jun 2014	1	11	0	12
Jul 2014	2	13	0	15
Aug 2014	5	12	1	18
Sep 2014	5	11	1	17
Oct 2014	1	15	0	16
Nov 2014	5	13	0	18
Dec 2014	3	10	2	15
Jan 2015	4	4	0	8
Feb 2015	5	1	0	6
Mar 2015	6	1	0	7
Apr 2015	3	1	0	4
May 2015	3	5	0	8
Jun 2015	23	10	0	33
Jul 2015	13	0	13
Aug 2015	8	8	0	16
Sep 2015	2	2	0	4
Oct 2015	6	1	0	7
Nov 2015	11	4	1	16
Dec 2015	3	1	2	6
Jan 2016	11	8	1	20
Feb 2016	8	6	0	14
Mar 2016	6	3	0	9
Apr 2016	7	2	0	9
May 2016	4	1	0	5
Jun 2016	3	2	0	5
Jul 2016	4	2	1	7
Aug 2016	2	7	0	9
Sep 2016	4	2	0	6
Oct 2016	2	3	0	5
Nov 2016	3	0	3
Dec 2016	5	3	0	8
Jan 2017	3	1	0	4
Feb 2017	3	1	0	4
Mar 2017	5	1	0	6
Apr 2017	7	6	0	13
May 2017	12	2	0	14
Jun 2017	9	4	0	13
Jul 2017	10	10	0	20
Aug 2017	5	10	1	16
Sep 2017	4	10	2	16
Oct 2017	3	4	0	7
Nov 2017	5	9	0	14
Dec 2017	8	8	2	18
Jan 2018	13	11	5	29
Feb 2018	6	4	0	10
Mar 2018	6	2	1	9
Apr 2018	9	4	0	13
May 2018	4	1	0	5
Jun 2018	8	2	1	11
Jul 2018	7	4	1	12
Aug 2018	12	7	1	20
Sep 2018	7	4	0	11
Oct 2018	8	8	0	16
Nov 2018	7	2	0	9
Dec 2018	6	6	0	12
Jan 2019	4	4	0	8
Feb 2019	3	3	0	6
Mar 2019	1	4	0	5
Apr 2019	2	2	0	4
May 2019	2	2	0	4
Jun 2019	7	5	0	12
Jul 2019	3	6	0	9
Aug 2019	2	0	2
Sep 2019	0
Oct 2019	3	2	1	6
Nov 2019	4	2	0	6
Dec 2019	2	3	0	5
Jan 2020	9	5	2	16
Feb 2020	4	3	0	7
Mar 2020	4	0	4
Apr 2020	2	4	0	6
May 2020	3	5	1	9
Jun 2020	11	2	0	13
Jul 2020	24	12	10	46
Aug 2020	5	7	5	17
Sep 2020	3	3	0	6
Oct 2020	5	4	0	9
Nov 2020	4	5	2	11
Dec 2020	6	4	0	10
Jan 2021	15	1	0	16
Feb 2021	3	1	0	4
Mar 2021	5	1	0	6
Apr 2021	1	1	0	2
May 2021	3	2	0	5
Jun 2021	4	1	0	5
Jul 2021	5	6	0	11
Aug 2021	5	0	5
Sep 2021	6	5	0	11
Oct 2021	5	18	0	23
Nov 2021	8	13	0	21
Dec 2021	10	1	0	11
Jan 2022	8	5	0	13
Feb 2022	3	2	2	7
Mar 2022	4	3	0	7
Apr 2022	8	4	2	14
May 2022	6	4	2	12
Jun 2022	5	2	0	7
Jul 2022	3	1	4
Aug 2022	7	5	0	12
Sep 2022	2	1	1	4
Oct 2022	4	2	1	7
Nov 2022	24	7	1	32
Dec 2022	8	5	1	14
Jan 2023	7	8	0	15
Feb 2023	5	4	0	9
Mar 2023	6	4	0	10
Apr 2023	4	1	0	5
May 2023	13	7	5	25
Jun 2023	3	1	0	4
Jul 2023	2	1	0	3
Aug 2023	7	5	3	15
Sep 2023	3	3	0	6
Oct 2023	5	5	0	10
Nov 2023	0
Dec 2023	9	1	2	12
Jan 2024	8	2	2	12
Feb 2024	4	4	2	10
Mar 2024	7	6	2	15
Apr 2024	13	3	1	17
May 2024	11	10	2	23
Jun 2024	8	2	2	12
Jul 2024	13	2	3	18
Aug 2024	15	3	3	21
Sep 2024	15	4	3	22
Oct 2024	25	4	1	30
Nov 2024	18	0	18
Dec 2024	16	5	21
Jan 2025	9	5	4	18
Feb 2025	13	3	0	16
Mar 2025	16	7	0	23
Apr 2025	4	4	1	9
May 2025	11	4	1	16
Jun 2025	29	11	0	40
Jul 2025	9	5	0	14
Aug 2025	16	5	0	21
Sep 2025	11	9	0	20
Oct 2025	23	9	2	34
Nov 2025	14	7	3	24
Dec 2025	24	23	2	49
Jan 2026	32	13	11	56
Feb 2026	14	12	4	30
Mar 2026	21	11	3	35
Apr 2026	2	5	1	8

Latest update: 15 Apr 2026