The Fokas method for integrable evolution equations on a time-dependent interval

2019 ◽  
Vol 60 (2) ◽  
pp. 023504 ◽  
Author(s):  
Baoqiang Xia
Keyword(s):  
Evolution Equations ◽  
Time Dependent ◽  
Integrable Evolution ◽  
Fokas Method

Integrable evolution equations in time-dependent domains

2001 ◽  
Vol 17 (4) ◽  
pp. 919-935 ◽  
Author(s):  
A S Fokas ◽  
B Pelloni
Keyword(s):  
Evolution Equations ◽  
Time Dependent ◽  
Integrable Evolution

A HIERARCHY OF HAMILTONIAN EQUATIONS ASSOCIATED WITH THE MODIFIED JAULENT–MIODEK HIERARCHY

2010 ◽  
Vol 24 (02) ◽  
pp. 183-193
Author(s):  
HAI-YONG DING ◽  
HONG-XIANG YANG ◽  
YE-PENG SUN ◽  
LI-LI ZHU
Keyword(s):  
Eigenvalue Problem ◽  
Evolution Equations ◽  
Trace Identity ◽  
Liouville Integrability ◽  
Matrix Eigenvalue Problem ◽  
Hamiltonian Structures ◽  
Hamiltonian Equations ◽  
Matrix Eigenvalue ◽  
Integrable Evolution

By considering a new four-by-four matrix eigenvalue problem, a hierarchy of Lax integrable evolution equations with four potentials is derived. The Hamiltonian structures of the resulting hierarchy are established by means of the generalized trace identity. The Liouville integrability for the hierarchy of the resulting Hamiltonian equations is presented.

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