TY - JOUR
T1 - Quasi-periodic solution of a new (2+1)-dimensional coupled soliton equation
AU - Wu, Yongtang
AU - Zhang, Jinshun
N1 - Publisher copyright:
Published under licence by IOP Publishing Ltd
PY - 2001/1/12
Y1 - 2001/1/12
N2 - A new (2+1)-dimensional integrable soliton equation is proposed, which
has a close connection with the Levi soliton hierarchy. Through the
nonlinearization of the Levi eigenvalue problems, we obtain a
finite-dimensional integrable system.
The Abel-Jacobi coordinates are
constructed to straighten out the Hamiltonian flows, by which the
solutions of both the 1 + 1 and 2 + 1 Levi equations are obtained through
linear superpositions. An inversion procedure gives the quasi-periodic
solution in the original coordinates in terms of the Riemann theta
functions.
AB - A new (2+1)-dimensional integrable soliton equation is proposed, which
has a close connection with the Levi soliton hierarchy. Through the
nonlinearization of the Levi eigenvalue problems, we obtain a
finite-dimensional integrable system.
The Abel-Jacobi coordinates are
constructed to straighten out the Hamiltonian flows, by which the
solutions of both the 1 + 1 and 2 + 1 Levi equations are obtained through
linear superpositions. An inversion procedure gives the quasi-periodic
solution in the original coordinates in terms of the Riemann theta
functions.
UR - http://www.scopus.com/inward/record.url?scp=0035847313&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/34/1/315
DO - 10.1088/0305-4470/34/1/315
M3 - Journal article
AN - SCOPUS:0035847313
SN - 0305-4470
VL - 34
SP - 193
EP - 210
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 1
ER -