A numerical study of nonlinear dispersive wave models with SpecTraVVave
In nonlinear dispersive evolution equations, the competing effects of nonlinearity and dispersion make a number of interesting phenomena possible. In the current work, the focus is on the numerical approximation of traveling-wave solutions of such equations. We describe our efforts to write...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/62/abstr.html |
| _version_ | 1818016493709819904 |
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| author | Henrik Kalisch Daulet Moldabayev Olivier Verdier |
| author_facet | Henrik Kalisch Daulet Moldabayev Olivier Verdier |
| author_sort | Henrik Kalisch |
| collection | DOAJ |
| description | In nonlinear dispersive evolution equations, the competing effects of
nonlinearity and dispersion make a number of interesting phenomena possible.
In the current work, the focus is on the numerical approximation of
traveling-wave solutions of such equations.
We describe our efforts to write a dedicated Python
code which is able to compute traveling-wave solutions of nonlinear
dispersive equations in a very general form. |
| first_indexed | 2024-04-14T07:13:10Z |
| format | Article |
| id | doaj.art-f693c0a3c43f4ef0a83d6b0e0c4854da |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-14T07:13:10Z |
| publishDate | 2017-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f693c0a3c43f4ef0a83d6b0e0c4854da2022-12-22T02:06:23ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-03-01201762,123A numerical study of nonlinear dispersive wave models with SpecTraVVaveHenrik Kalisch0Daulet Moldabayev1Olivier Verdier2 Univ. of Bergen, Bergen, Norway Univ. of Bergen, Bergen, Norway Western Norway Univ., Norway In nonlinear dispersive evolution equations, the competing effects of nonlinearity and dispersion make a number of interesting phenomena possible. In the current work, the focus is on the numerical approximation of traveling-wave solutions of such equations. We describe our efforts to write a dedicated Python code which is able to compute traveling-wave solutions of nonlinear dispersive equations in a very general form.http://ejde.math.txstate.edu/Volumes/2017/62/abstr.htmlTraveling Wavesnonlinear dispersive equationsbifurcationsolitary waves |
| spellingShingle | Henrik Kalisch Daulet Moldabayev Olivier Verdier A numerical study of nonlinear dispersive wave models with SpecTraVVave Electronic Journal of Differential Equations Traveling Waves nonlinear dispersive equations bifurcation solitary waves |
| title | A numerical study of nonlinear dispersive wave models with SpecTraVVave |
| title_full | A numerical study of nonlinear dispersive wave models with SpecTraVVave |
| title_fullStr | A numerical study of nonlinear dispersive wave models with SpecTraVVave |
| title_full_unstemmed | A numerical study of nonlinear dispersive wave models with SpecTraVVave |
| title_short | A numerical study of nonlinear dispersive wave models with SpecTraVVave |
| title_sort | numerical study of nonlinear dispersive wave models with spectravvave |
| topic | Traveling Waves nonlinear dispersive equations bifurcation solitary waves |
| url | http://ejde.math.txstate.edu/Volumes/2017/62/abstr.html |
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