THE INITIAL BOUNDARY VALUE PROBLEMS FOR A NONLINEAR INTEGRABLE EQUATION WITH 3×3 LAX PAIR ON THE FINITE INTERVAL  

作　　者：Yu XIAO Jian XU Engui FAN 肖羽;徐建;范恩贵(College of Information and Management Science,Henan Agricultural University,Zhengzhou 450046,China;College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China;School of Mathematical Science,Fudan University,Shanghai 200433,China)

机构地区：[1]College of Information and Management Science,Henan Agricultural University,Zhengzhou 450046,China [2]College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China [3]School of Mathematical Science,Fudan University,Shanghai 200433,China

出　　处：《Acta Mathematica Scientia》2021年第5期1733-1748,共16页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11901167,11971313 and 51879045);Key scientific research projects of higher education institutions in Henan,China(18B110008).

摘　　要：In this paper,we apply Fokas unified method to study the initial boundary value(IBV)problems for nonlinear integrable equation with 3×3 Lax pair on the finite interval[0,L].The solution can be expressed by the solution of a 3×3 Riemann-Hilbert(RH)problem.The relevant jump matrices are written in terms of matrix-value spectral functions s(k),S(k),S_(l)(k),which are determined by initial data at t=0,boundary values at x=0 and boundary values at x=L,respectively.What's more,since the eigenvalues of 3×3 coefficient matrix of k spectral parameter in Lax pair are three different values,search for the path of analytic functions in RH problem becomes a very interesting thing.

关 键 词：integral equation initial boundary value problems Fokas unified method Riemann-Hilbert problem 

分 类 号：O175.8[理学—数学]