شماره ركورد كنفرانس :
5263
عنوان مقاله :
Riccati Equations Associated to The Yajima-Oikawa Equation
پديدآورندگان :
Noori Saeideh saeedenoori2@gmail.com Department of Mathematics, PhD Student, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran.
كليدواژه :
Yajima , Oikawa (YO) equation , Lax piar , Riccati equations , Compatibility
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
In this study, we derive the Yajima-Oikawa (YO) equation by the use of its zero-curvature representation. We then calculate the corresponding Riccati system based on its Lax pair on the space $ mathbb{CP}^{2} $. Moreover, we present some intriguing results in terms of the links connecting the Lax pair, the YO system, and the corresponding Riccati equations.