{"title":"具有平方根非线性的非线性Schrödinger方程的数值解","authors":"S. Phibanchon, M. A. Allen","doi":"10.1109/ICCSA.2010.68","DOIUrl":null,"url":null,"abstract":"The time evolution of bright solitons in an ion-acoustic plasma with non-isothermal electrons are determined numerically by using the Crank-Nicolson scheme. Head-on collisions between two solitons with the same and different amplitudes are investigated. Both types of collision are found to be inelastic -- the amplitudes and speeds of the outgoing solitons are a little different from those of the incoming solitons.","PeriodicalId":405597,"journal":{"name":"2010 International Conference on Computational Science and Its Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Numerical Solutions of the Nonlinear Schrödinger Equation with a Square Root Nonlinearity\",\"authors\":\"S. Phibanchon, M. A. Allen\",\"doi\":\"10.1109/ICCSA.2010.68\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The time evolution of bright solitons in an ion-acoustic plasma with non-isothermal electrons are determined numerically by using the Crank-Nicolson scheme. Head-on collisions between two solitons with the same and different amplitudes are investigated. Both types of collision are found to be inelastic -- the amplitudes and speeds of the outgoing solitons are a little different from those of the incoming solitons.\",\"PeriodicalId\":405597,\"journal\":{\"name\":\"2010 International Conference on Computational Science and Its Applications\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-03-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference on Computational Science and Its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCSA.2010.68\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Computational Science and Its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCSA.2010.68","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical Solutions of the Nonlinear Schrödinger Equation with a Square Root Nonlinearity
The time evolution of bright solitons in an ion-acoustic plasma with non-isothermal electrons are determined numerically by using the Crank-Nicolson scheme. Head-on collisions between two solitons with the same and different amplitudes are investigated. Both types of collision are found to be inelastic -- the amplitudes and speeds of the outgoing solitons are a little different from those of the incoming solitons.
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