CONSLAW: A Maple Package to Construct the Conservation Laws for Nonlinear Evolution Equations

2006 ◽  
pp. 307-325
Author(s):  
Ruo-Xia Yao ◽  
Zhi-Bin Li
Keyword(s):  
Conservation Laws ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Maple Package

AN ALGORITHM OF CONSTRUCTING THE CONSERVATION LAWS OF NONLINEAR EVOLUTION EQUATIONS

2004 ◽  
Vol 18 (17n19) ◽  
pp. 2633-2639
Author(s):  
RUO-XIA YAO ◽  
ZHI-BIN LI
Keyword(s):  
Conservation Laws ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Polynomial Type ◽  
Maple Package

An algorithm of constructing the polynomial type conservation laws of nonlinear evolution equations (either parameterized or non-parameterized) is described and a Maple package [Formula: see text] to automate the computation is presented. For parameterized equation(s), [Formula: see text] can determine the parameters constraints automatically such that a sequence of conservation laws exist.

scholarly journals Conservation Laws of Nonlinear-Evolution Equations

1974 ◽  
Vol 52 (3) ◽  
pp. 886-889 ◽  
Author(s):  
K. Konno ◽  
H. Sanuki ◽  
Y. H. Ichikawa
Keyword(s):  
Conservation Laws ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations

An extension of the coupled derivative nonlinear Schrödinger hierarchy

2018 ◽  
Vol 32 (02) ◽  
pp. 1850016
Author(s):  
Siqi Xu ◽  
Xianguo Geng ◽  
Bo Xue
Keyword(s):  
Conservation Laws ◽  
Spectral Problem ◽  
Compatibility Condition ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Trace Identity ◽  
Hamiltonian Structures ◽  
Nonlinear Schrödinger ◽  
Matrix Spectral Problem

In this paper, a 3 × 3 matrix spectral problem with six potentials is considered. With the help of the compatibility condition, a hierarchy of new nonlinear evolution equations which can be reduced to the coupled derivative nonlinear Schrödinger (CDNLS) equations is obtained. By use of the trace identity, it is proved that all the members in this new hierarchy have generalized bi-Hamiltonian structures. Moreover, infinitely many conservation laws of this hierarchy are constructed.

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