Rational solutions for three semi-discrete modified Korteweg–de Vries-type equations

Abstract

1 department of mathematics, university of shanghai for science and technology, shanghai, 200093, p.r. china 2 department of applied mathematics, zhejiang university of technology, hangzhou 310023, p.r. china Abstract. In this paper, we consider three semi-discrete modified Korteweg-de Vries type equations which are the nonlinear lumped self-dual network equation, the semi-discrete lattice potential modified Korteweg-de Vries equation and a semi-discrete modified Korteweg-de Vries equation. We derive several kinds of exact solutions, in particular rational solutions, in terms of the Casorati determinant for these three equations respectively. For some rational solutions, we present the related asymptotic analysis to understand their dynamics better.

Ragam Metode Pemodelan Perilaku Evakuasi Kebakaran di dalam Bangunan

“…Terkait dengan pengaruh sosial, beberapa penelitian melakukan simulasi pengambilan keputusan secara hipotetikal (Sun, de Vries, & Zhao, 2010;Vani & Idicula, 2013), eksperimen lapangan, dan juga mulai berkembang usaha untuk menjadikan model hipotetikal agar semakin mendekati kondisi nyata, seperti yang dilakukan Haghani seperti terlihat pada gambar 3. Adanya usaha ini mulai menggeser esensi penelitian perilaku evakuasi dari yang melihat pergerakan secara fisik (pola pergerakan, pilihan titik keluar, pilihan rute evakuasi) kepada latar belakang yang mendasari pilihan tersebut.…”