An infinity of conservation laws of fKdV equation

Xu Zhaoting; Xu Yu; Tian Jiwei

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An infinity of conservation laws of fKdV equation

机译：fKdV方程的守恒律无穷大

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An infinity of conservation laws of fKdV equation is derived in terms of the Miura and Gardner's transform. The pseudo-mass and energy theorems are studied by the first two conservation laws. As a typical example, the theoretical mean wave resistance and the regional distribution of energy of the precursor soliton generation are determined by means of the first and the second conservation laws.

机译：根据Miura和Gardner变换得出fKdV方程的守恒律无穷大。前两个守恒定律研究了伪质量定理和能量定理。作为典型示例，借助于第一守恒定律和第二守恒定律来确定理论平均波阻和前驱孤子产生的能量的区域分布。

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《Acta Oceanologica Sinica》 |1997年第1期|p.19-28|共10页
作者
Xu Zhaoting; Xu Yu; Tian Jiwei;
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正文语种 eng
中图分类海洋学;
关键词
precursor soliton of fKdV equation; an fKdV equation; an infinity of conservation laws;

机译：fKdV方程的前体孤子;fKdV方程;守恒律的无穷大;

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专利

1. An infinity of conservation laws of fKdV equation [J] . 海洋学报：英文版 . 1997,第001期

机译：FKDV方程保护规律无限
2. The derivation of the conservation law for defocusing nonlinear Schr?dinger equations with non-vanishing initial data at infinity [J] . Hayato Miyazaki Journal of Mathematical Analysis and Applications . 2014,第2期

机译：无穷大初始数据不消失的非线性薛定ding方程离焦守恒律的推导
3. Additional conservation laws, functional relations between conservation laws, and potentials of divergent gas dynamics equations [J] . Rylov A. I. Journal of applied mathematics and mechanics . 2015,第3期

机译：其他守恒律，守恒律之间的函数关系以及发散气体动力学方程的潜力
4. The analysis of the fifth-order fKdV equations based on the P-S method [C] . Zhengren Wu, Liu Mei 2010 International Conference on Computer Application and System Modeling . 2010

机译：基于P-S方法的五阶fKdV方程分析
5. NONLOCAL LINEAR SECOND-ORDER "EQUATIONS OF MOTION" AND THEIR BALANCE LAWS AND CONSERVATION LAWS: A TECHNIQUE BYPASSING LAGRANGIANS. [D] . GOULD, LAURENCE IRA. 1982

机译：非局部线性二阶“运动方程”及其平衡律和守恒律：一种绕过拉格朗日人的技术。
6. Derivation of an electron-transport rate equation energy-conservation equations and a luminescence-flux equation of algal and plant photosynthesis [O] . 1979

机译：藻类和植物光合作用的电子传输速率方程能量守恒方程和发光通量方程的推导
7. The derivation of the conservation law for defocusing nonlinear Schroedinger equations with non-vanishing initial data at infinity [O] . Miyazaki, Hayato 2013

机译：非线性散焦守恒律的推导 schroedinger方程在无穷远处具有非消失的初始数据
8. Semi-Discrete Approximations to Nonlinear Systems of Conservation Laws; Consistency and L(Infinity)-Stability Imply Convergence [R] . Tadmor, E. 1988

机译：非线性守恒定律系统的半离散近似;一致性和L（无穷大） - 稳定性意味着趋同

An infinity of conservation laws of fKdV equation

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