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Article: Localized modes of the Hirota equation: Nth order rogue wave and a separation of variable technique
Title | Localized modes of the Hirota equation: Nth order rogue wave and a separation of variable technique |
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Authors | |
Keywords | Generalized Darboux transformation Rogue waves Stability of rogue waves Variable separation technique |
Issue Date | 2016 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsns |
Citation | Communications in Nonlinear Science and Numerical Simulation, 2016, v. 39, p. 118-133 How to Cite? |
Abstract | The Hirota equation is a special extension of the intensively studied nonlinear Schrödinger equation, by incorporating third order dispersion and one form of the self-steepening effect. Higher order rogue waves of the Hirota equation can be calculated theoretically through a Darboux-dressing transformation by a separation of variable approach. A Taylor expansion is used and no derivative calculation is invoked. Furthermore, stability of these rogue waves is studied computationally. By tracing the evolution of an exact solution perturbed by random noise, it is found that second order rogue waves are generally less stable than first order ones. |
Persistent Identifier | http://hdl.handle.net/10722/234061 |
ISSN | 2023 Impact Factor: 3.4 2023 SCImago Journal Rankings: 0.919 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Mu, G | - |
dc.contributor.author | Qin, Z | - |
dc.contributor.author | Chow, KW | - |
dc.contributor.author | Ee, BK | - |
dc.date.accessioned | 2016-10-14T06:58:48Z | - |
dc.date.available | 2016-10-14T06:58:48Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | Communications in Nonlinear Science and Numerical Simulation, 2016, v. 39, p. 118-133 | - |
dc.identifier.issn | 1007-5704 | - |
dc.identifier.uri | http://hdl.handle.net/10722/234061 | - |
dc.description.abstract | The Hirota equation is a special extension of the intensively studied nonlinear Schrödinger equation, by incorporating third order dispersion and one form of the self-steepening effect. Higher order rogue waves of the Hirota equation can be calculated theoretically through a Darboux-dressing transformation by a separation of variable approach. A Taylor expansion is used and no derivative calculation is invoked. Furthermore, stability of these rogue waves is studied computationally. By tracing the evolution of an exact solution perturbed by random noise, it is found that second order rogue waves are generally less stable than first order ones. | - |
dc.language | eng | - |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsns | - |
dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Generalized Darboux transformation | - |
dc.subject | Rogue waves | - |
dc.subject | Stability of rogue waves | - |
dc.subject | Variable separation technique | - |
dc.title | Localized modes of the Hirota equation: Nth order rogue wave and a separation of variable technique | - |
dc.type | Article | - |
dc.identifier.email | Chow, KW: kwchow@hku.hk | - |
dc.identifier.authority | Chow, KW=rp00112 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1016/j.cnsns.2016.02.028 | - |
dc.identifier.scopus | eid_2-s2.0-84962545385 | - |
dc.identifier.hkuros | 267335 | - |
dc.identifier.volume | 39 | - |
dc.identifier.spage | 118 | - |
dc.identifier.epage | 133 | - |
dc.identifier.isi | WOS:000375933800011 | - |
dc.publisher.place | Netherlands | - |
dc.identifier.issnl | 1007-5704 | - |