Inverse problem of variational calculus for nonlinear evolution equations

被引:0
作者
Ali, Sk. Golam [1 ]
Talukdar, B.
Das, U.
机构
[1] Visva Bharati Univ, Dept Phys, Santini Ketan 731235, W Bengal, India
[2] Abhedananda Mahavidyalaya, Sainthia 731234, India
来源
ACTA PHYSICA POLONICA B | 2007年 / 38卷 / 06期
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中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We couple a nonlinear evolution equation with an associated one and derive the action principle. This allows us to write the Lagrangian density of the system in terms of the original field variables rather than Casimir potentials. We find that the corresponding Hamiltonian density provides a natural basis to recast the pair of equations in the canonical form. Amongst the case studies presented the KdV and modified KdV pairs exhibit bi-Hamiltonian structure and allow one to realize the associated fields in physical terms.
引用
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页码:1993 / 2002
页数:10
相关论文
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