Soliton-like behavior in fast two-pulse collisions in weakly perturbed linear physical systems
We demonstrate that pulses of linear physical systems, weakly perturbed by nonlinear dissipation, exhibit soliton-like behavior in fast collisions. The behavior is demonstrated for linear waveguides with weak cubic loss and for systems described by linear diffusion–advection models with weak quadrat...
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| Veröffentlicht in: | The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2017-12, Vol.71 (12), p.1-9, Article 315 |
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| container_title | The European physical journal. D, Atomic, molecular, and optical physics |
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| creator | Peleg, Avner Nguyen, Quan M. Huynh, Toan T. |
| description | We demonstrate that pulses of linear physical systems, weakly perturbed by nonlinear dissipation, exhibit soliton-like behavior in fast collisions. The behavior is demonstrated for linear waveguides with weak cubic loss and for systems described by linear diffusion–advection models with weak quadratic loss. We show that in both systems, the expressions for the collision-induced amplitude shifts due to the nonlinear loss have the same form as the expression for the amplitude shift in a fast collision between two solitons of the cubic nonlinear Schrödinger equation in the presence of weak cubic loss. Our analytic predictions are confirmed by numerical simulations with the corresponding coupled linear evolution models with weak nonlinear loss. These results open the way for studying dynamics of fast collisions between pulses of weakly perturbed linear physical systems in an arbitrary spatial dimension.
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| doi_str_mv | 10.1140/epjd/e2017-80358-4 |
| format | Article |
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Graphical abstract</description><subject>Applications of Nonlinear Dynamics and Chaos Theory</subject><subject>Atomic</subject><subject>Collision dynamics</subject><subject>Computer simulation</subject><subject>Mathematical models</subject><subject>Molecular</subject><subject>Nonlinear systems</subject><subject>Optical and Plasma Physics</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Information Technology</subject><subject>Quantum Physics</subject><subject>Regular Article</subject><subject>Schrodinger equation</subject><subject>Solitary waves</subject><subject>Spectroscopy/Spectrometry</subject><subject>Spintronics</subject><issn>1434-6060</issn><issn>1434-6079</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1kM1OwzAQhC0EEqXwApwscQ61E8dOjqjiT6rEAbhiOc6aunXjYCdUeXsSihAXTrurnW92NQhdUnJNKSMLaDf1AlJCRVKQLC8SdoRmlGUs4USUx789J6foLMYNISTNGZ-ht2fvbOebxNkt4ArW6tP6gG2DjYod7vY-aXsXAWvvnI3WN3Fa7kFt3YBbCF0fKqixsw2ogNv1EK1WDschdrCL5-jEqBG_-Klz9Hp3-7J8SFZP94_Lm1WiM1p2SUlLbozImeEcYHqOVGlRC55lqigrqvM0NbqqiNAEDNFFDorVROQ10-OcZ3N0dfBtg__oIXZy4_vQjCclLQWjvBSEjqr0oNLBxxjAyDbYnQqDpEROOcopR_mdo_zOUbIRyg5QHMXNO4Q_1v9TXwxjeYc</recordid><startdate>20171201</startdate><enddate>20171201</enddate><creator>Peleg, Avner</creator><creator>Nguyen, Quan M.</creator><creator>Huynh, Toan T.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20171201</creationdate><title>Soliton-like behavior in fast two-pulse collisions in weakly perturbed linear physical systems</title><author>Peleg, Avner ; Nguyen, Quan M. ; Huynh, Toan T.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-9196ff754f66ee00020b28d7633a89b1c522fcbb07c0ef0c85ea4d075d4cef053</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Applications of Nonlinear Dynamics and Chaos Theory</topic><topic>Atomic</topic><topic>Collision dynamics</topic><topic>Computer simulation</topic><topic>Mathematical models</topic><topic>Molecular</topic><topic>Nonlinear systems</topic><topic>Optical and Plasma Physics</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Information Technology</topic><topic>Quantum Physics</topic><topic>Regular Article</topic><topic>Schrodinger equation</topic><topic>Solitary waves</topic><topic>Spectroscopy/Spectrometry</topic><topic>Spintronics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Peleg, Avner</creatorcontrib><creatorcontrib>Nguyen, Quan M.</creatorcontrib><creatorcontrib>Huynh, Toan T.</creatorcontrib><collection>CrossRef</collection><jtitle>The European physical journal. D, Atomic, molecular, and optical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Peleg, Avner</au><au>Nguyen, Quan M.</au><au>Huynh, Toan T.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Soliton-like behavior in fast two-pulse collisions in weakly perturbed linear physical systems</atitle><jtitle>The European physical journal. D, Atomic, molecular, and optical physics</jtitle><stitle>Eur. Phys. J. D</stitle><date>2017-12-01</date><risdate>2017</risdate><volume>71</volume><issue>12</issue><spage>1</spage><epage>9</epage><pages>1-9</pages><artnum>315</artnum><issn>1434-6060</issn><eissn>1434-6079</eissn><abstract>We demonstrate that pulses of linear physical systems, weakly perturbed by nonlinear dissipation, exhibit soliton-like behavior in fast collisions. The behavior is demonstrated for linear waveguides with weak cubic loss and for systems described by linear diffusion–advection models with weak quadratic loss. We show that in both systems, the expressions for the collision-induced amplitude shifts due to the nonlinear loss have the same form as the expression for the amplitude shift in a fast collision between two solitons of the cubic nonlinear Schrödinger equation in the presence of weak cubic loss. Our analytic predictions are confirmed by numerical simulations with the corresponding coupled linear evolution models with weak nonlinear loss. These results open the way for studying dynamics of fast collisions between pulses of weakly perturbed linear physical systems in an arbitrary spatial dimension.
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| subjects | Applications of Nonlinear Dynamics and Chaos Theory Atomic Collision dynamics Computer simulation Mathematical models Molecular Nonlinear systems Optical and Plasma Physics Physical Chemistry Physics Physics and Astronomy Quantum Information Technology Quantum Physics Regular Article Schrodinger equation Solitary waves Spectroscopy/Spectrometry Spintronics |
| title | Soliton-like behavior in fast two-pulse collisions in weakly perturbed linear physical systems |
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