Localized Properties of Rogue Wave for a Higher-Order Nonlinear Schrodinger Equation
In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higherorder nonlinear Schr6dinger equation （HONLS） by the Darboux transformation and confirm the decomposition rule of the rogue wave solutions up to fourth-order. These solutions have two parameters a...
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| Published in | Communications in theoretical physics Vol. 63; no. 5; pp. 525 - 534 |
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| Format | Journal Article |
| Language | English |
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01.05.2015
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| ISSN | 0253-6102 1572-9494 |
| DOI | 10.1088/0253-6102/63/5/525 |
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| Abstract | In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higherorder nonlinear Schr6dinger equation （HONLS） by the Darboux transformation and confirm the decomposition rule of the rogue wave solutions up to fourth-order. These solutions have two parameters a and ;3 which denote the contribution of the higher-order terms （dispersions and nonlinear effects） included in the HONLS equation. Two localized properties, i.e., length and width of the first-order rogue wave solution are expressed by above two parameters, which show analytically a remarkable influence of higher-order terms on the rogue wave. Moreover, profiles of the higher-order rogue wave solutions demonstrate graphically a strong compression effect along t-direction given by higher-order terms. |
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| AbstractList | In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higherorder nonlinear Schr6dinger equation （HONLS） by the Darboux transformation and confirm the decomposition rule of the rogue wave solutions up to fourth-order. These solutions have two parameters a and ;3 which denote the contribution of the higher-order terms （dispersions and nonlinear effects） included in the HONLS equation. Two localized properties, i.e., length and width of the first-order rogue wave solution are expressed by above two parameters, which show analytically a remarkable influence of higher-order terms on the rogue wave. Moreover, profiles of the higher-order rogue wave solutions demonstrate graphically a strong compression effect along t-direction given by higher-order terms. In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higher-order nonlinear Schrodinger equation (HONLS) by the Darboux transformation and confirm the decomposition rule of the rogue wave solutions up to fourth-order. These solutions have two parameters alpha and beta which denote the contribution of the higher-order terms (dispersions and nonlinear effects) included in the HONLS equation. Two localized properties, i.e., length and width of the first-order rogue wave solution are expressed by above two parameters, which show analytically a remarkable influence of higher-order terms on the rogue wave. Moreover, profiles of the higher-order rogue wave solutions demonstrate graphically a strong compression effect along t-direction given by higher-order terms. In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higher-order nonlinear Schrödinger equation (HONLS) by the Darboux transformation and confirm the decomposition rule of the rogue wave solutions up to fourth-order. These solutions have two parameters α and β which denote the contribution of the higher-order terms (dispersions and nonlinear effects) included in the HONLS equation. Two localized properties, i.e., length and width of the first-order rogue wave solution are expressed by above two parameters, which show analytically a remarkable influence of higher-order terms on the rogue wave. Moreover, profiles of the higher-order rogue wave solutions demonstrate graphically a strong compression effect along t-direction given by higher-order terms. |
| Author | 柳伟 邱德勤 贺劲松 |
| AuthorAffiliation | School of Mathematical Sciences, University of Science and Technologe of China, Hefei 230026, China Department of Mathematics, Ningbo University, Ningbo 315211, China |
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| CitedBy_id | crossref_primary_10_1088_0253_6102_64_6_605 crossref_primary_10_1088_0253_6102_68_3_290 crossref_primary_10_1103_PhysRevE_93_062219 crossref_primary_10_1088_1572_9494_abcfb6 crossref_primary_10_1016_j_ijleo_2018_12_148 crossref_primary_10_1007_s11071_019_04956_0 crossref_primary_10_1142_S0217984918503098 crossref_primary_10_1371_journal_pone_0192281 crossref_primary_10_1016_j_cnsns_2016_07_021 crossref_primary_10_21597_jist_861864 crossref_primary_10_1016_j_chaos_2018_06_029 crossref_primary_10_1007_s12043_017_1392_1 crossref_primary_10_1016_j_chaos_2024_115743 crossref_primary_10_1007_s00339_022_06206_4 crossref_primary_10_1088_0253_6102_66_4_374 crossref_primary_10_1016_j_spmi_2017_12_007 |
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| Notes | rogue wave, higher-order nonlinear Schr6dinger equation, Darboux transformation 11-2592/O3 In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higherorder nonlinear Schr6dinger equation （HONLS） by the Darboux transformation and confirm the decomposition rule of the rogue wave solutions up to fourth-order. These solutions have two parameters a and ;3 which denote the contribution of the higher-order terms （dispersions and nonlinear effects） included in the HONLS equation. Two localized properties, i.e., length and width of the first-order rogue wave solution are expressed by above two parameters, which show analytically a remarkable influence of higher-order terms on the rogue wave. Moreover, profiles of the higher-order rogue wave solutions demonstrate graphically a strong compression effect along t-direction given by higher-order terms. LIU Wei , QIU De-Qin , HE Jing-Song （ 1School of Mathematical Sciences, University of Science and Technologe of China, Hefei 230026, China 2Department of Mathematics, Ningbo University, Ningbo 315211, China） ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| Snippet | In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higherorder nonlinear Schr6dinger equation （HONLS） by the... In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higher-order nonlinear Schrödinger equation (HONLS) by the... In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higher-order nonlinear Schrodinger equation (HONLS) by the... |
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| SubjectTerms | Determinants Dispersions Longitudinal waves Mathematical analysis NLS方程 Nonlinearity Representations Schroedinger equation Transformations 局部化性质 行列式表示 达布变换 非线性Schrodinger方程 非线性效应 高阶非线性薛定谔方程 高阶项 |
| Title | Localized Properties of Rogue Wave for a Higher-Order Nonlinear Schrodinger Equation |
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