Riemann–Hilbert method and multi-soliton solutions of the Kundu-nonlinear Schrödinger equation
| العنوان: | Riemann–Hilbert method and multi-soliton solutions of the Kundu-nonlinear Schrödinger equation |
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| المؤلفون: | Xue-Wei Yan |
| المصدر: | Nonlinear Dynamics. 102:2811-2819 |
| بيانات النشر: | Springer Science and Business Media LLC, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Physics, Applied Mathematics, Mechanical Engineering, Mathematical analysis, Aerospace Engineering, Ocean Engineering, symbols.namesake, Nonlinear system, Riemann hypothesis, Matrix (mathematics), Nonlinear Sciences::Exactly Solvable and Integrable Systems, Transformation (function), Transformation matrix, Control and Systems Engineering, Inverse scattering problem, symbols, Electrical and Electronic Engineering, Nonlinear Sciences::Pattern Formation and Solitons, Nonlinear Schrödinger equation, Schrödinger's cat |
| الوصف: | In this work, we study the Kundu-nonlinear Schrodinger (Kundu-NLS) equation (so-called the extended NLS equation), which can describe the propagation of the waves in dispersive media. A Lax spectral problem is used to construct the Riemann–Hilbert problem, via a matrix transformation. Based on the inverse scattering transformation, the general solutions of the Kundu-NLS equation are calculated. In the reflection-less case, the special matrix Riemann–Hilbert problem is carefully proposed to derive the multi-soliton solutions. Finally, some novel dynamics behaviors of the nonlinear system are theoretically and graphically discussed. |
| تدمد: | 1573-269X 0924-090X |
| DOI: | 10.1007/s11071-020-06102-7 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::e980a13d22050fd2fcaa462aa57df5d4 https://doi.org/10.1007/s11071-020-06102-7 |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi...........e980a13d22050fd2fcaa462aa57df5d4 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 1573269X 0924090X |
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| DOI: | 10.1007/s11071-020-06102-7 |