Browsing Department of Mathematics by Author "Aktosun, Tuncay"
Now showing items 1-5 of 5
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A Generalized Approach To Darboux Transformations For Differential Equations
Unlu, Mehmet (Mathematics, 2014-07-14)A Darboux transformation is a mathematical procedure to produce a solution to a differential equation when the solution to a related differential equation is known. The basic idea behind a Darboux transformation is to ... -
Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation
Busse, Theresa Nicole (Mathematics, 2008-08-08)The nonlinear Schrödinger (NLS) equation describes wave propagation in optical fibers, and it is one of the most well-known nonlinear partial differential equations. In 1972 Zakharov and Shabat introduced a powerful method ... -
A Method For Exact Solutions To Integrable Evolution Equations In 2+1 Dimensions
Machuca, Alicia (Mathematics, 2014-09-17)A systematic method is developed to obtain solution formulas for certain explicit solutions to integrable nonlinear partial differential equations in two spatial variables and one time variable. The method utilizes an ... -
OPTIMAL TREATMENT STRATEGIES FOR CANCER PATIENTS IN TERMS OF SURVIVAL MONTHS AND SOCIO-ECONOMIC FACTORS
Mogultay, Omer (2020-05-29)One of the main challenges of cancer patients and their healthcare providers is making decisions regarding choosing the best treatment option. In the first part of thesis, we analyze breast cancer patients’ data to discover ... -
PRECISION MEDICINE: GENE AND CLINICAL DATA ANALYSIS OF RENAL CANCER
Su, Sumeyye; 0000-0001-5221-413X (2020-05-12)Recent advances in biotechnology led to generation of large complex biological and clinical data sets that can be used to infer the underlying mechanism of many diseases and arrive at personalized treatments. One of these ...