التفاصيل البيبلوغرافية
| العنوان: |
Riemann-Hilbert approach to TD equation with nonzero boundary condition. |
| المؤلفون: |
Zhu, Junyi, Wang, Linlin, Geng, Xianguo |
| المصدر: |
Frontiers of Mathematics in China; Oct2018, Vol. 13 Issue 5, p1245-1265, 21p |
| مصطلحات موضوعية: |
RIEMANN-Hilbert problems, BOUNDARY value problems, INVERSE scattering transform, WAVE equation, DIFFERENTIAL equations, MATHEMATICAL functions, NUMERICAL analysis |
| مستخلص: |
We extend the Riemann-Hilbert approach to the TD equation, which is a highly nonlinear differential integrable equation. Zero boundary condition at infinity for the TD equation is not suitable. Inverse scattering transform for this equation involves the singular Riemann-Hilbert problem, which means that the sectionally analytic functions have singularities on the boundary curve. Regularization procedures of the singular Riemann-Hilbert problem for two cases, the general case and the case for reflectionless potentials, are considered. Solitonic solutions to the TD equation are given. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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