Greeting and General Statement by the Organizer

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General Statement by

My research interests are in number theory where I use mostly analytic tools to study objects from algebraic number theory and arithmetic geometry. I am interested in topics such as modular forms, class numbers, quadratic forms, and finite fields. However, most of my current work is focused on elliptic curves, and in particular on their reductions. The theory of elliptic curves figured strongly...

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1 Statement of the general problem

The " truncation procedure " initiated by Weiss et al. is best understood as a Darboux transformation. If it leads to the Lax pair of the PDE under study, the Bäcklund transformation follows by an elimination, thus proving the integrability. We present the state of the art of this powerful technique. The easy situations were all handled by the WTC one–family truncation and its homographically i...

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ژورنال

عنوان ژورنال: YAKUGAKU ZASSHI

سال: 2017

ISSN: 0031-6903,1347-5231

DOI: 10.1248/yakushi.16-00244-1