Inverse Scattering Transform and Solitons for Square Matrix Nonlinear Schrödinger Equations
نویسندگان
چکیده
منابع مشابه
global results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Inverse Scattering Transform and the Theory of Solitons
Scattering data The scattering data associated with a LODE usually consists of a reflection coefficient which is a function of the spectral parameter λ, a finite number of constants λj that correspond to the poles of the transmission coefficient in the upper half complex plane, and the bound-state norming constants whose number for each bound-state pole λj is the same as the order of that pole....
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ژورنال
عنوان ژورنال: Studies in Applied Mathematics
سال: 2018
ISSN: 0022-2526,1467-9590
DOI: 10.1111/sapm.12223