Conservation laws and path-independent integrals in mechanical-diffusion-electrochemical reaction coupling system

2017 ◽  
Vol 104 ◽  
pp. 57-70 ◽  
Author(s):  
Pengfei Yu ◽  
Hailong Wang ◽  
Jianyong Chen ◽  
Shengping Shen
Keyword(s):  
Conservation Laws ◽  
Electrochemical Reaction ◽  
Coupling System ◽  
Mechanical Diffusion ◽  
Reaction Coupling

scholarly journals Travelling waves and conservation laws of a (2+1)-dimensional coupling system with Korteweg-de Vries equation

2018 ◽  
Vol 3 (1) ◽  
pp. 241-254 ◽  
Author(s):  
Chaudry Masood Khalique ◽  
Isaiah Elvis Mhlanga
Keyword(s):  
Conservation Laws ◽  
Vries Equation ◽  
Travelling Waves ◽  
Hamiltonian Formulation ◽  
Expansion Method ◽  
Travelling Wave ◽  
Lie Symmetry Analysis ◽  
Coupling System ◽  
De Vries ◽  
Dimensional Coupling

AbstractIn this paper we study a (2+1)-dimensional coupling system with the Korteweg-de Vries equation, which is associated with non-semisimple matrix Lie algebras. Its Lax-pair and bi-Hamiltonian formulation were obtained and presented in the literature. We utilize Lie symmetry analysis along with the (G′/G)–expansion method to obtain travelling wave solutions of this system. Furthermore, conservation laws are constructed using the multiplier method.

Ultrastructural Localization of Acid Mucosubstance in Skeletal Muscle

1967 ◽  
Vol 25 ◽  
pp. 52-53 ◽  
Author(s):  
William J. Dougherty ◽  
Samuel S. Spicer
Keyword(s):  
Striated Muscle ◽  
Divalent Cations ◽  
Ultrastructural Localization ◽  
Major Elements ◽  
Frozen Sections ◽  
Thorium Dioxide ◽  
Iron Solution ◽  
Coupling System ◽  
Psoas Muscles ◽  
Formalin Fixed

In recent years, considerable attention has focused on the morphological nature of the excitation-contraction coupling system of striated muscle. Since the study of Porter and Palade, it has become evident that the sarcoplastic reticulum (SR) and transverse tubules constitute the major elements of this system. The problem still exists, however, of determining the mechamisms by which the signal to interdigitate is presented to the thick and thin myofilaments. This problem appears to center on the movement of Ca++ions between myofilaments and SR. Recently, Philpott and Goldstein reported acid mucosubstance associated with the SR of fish branchial muscle using the colloidal thorium dioxide technique, and suggested that this material may serve to bind or release divalent cations such as Ca++. In the present study, Hale's iron solution adapted to electron microscopy was applied to formalin-fixed myofibrils isolated from glycerol-extracted rabbit psoas muscles and to frozen sections of formalin-fixed rat psoas muscles.

Agro-mechanical Diffusion in a Backward Region

1990 ◽  
Author(s):  
Rakesh Basant ◽  
K.K. Subrahmamian
Keyword(s):  
Mechanical Diffusion

Bosonic Symmetries, Solutions, and Conservation Laws for the Dirac Equation with Nonzero Mass

2013 ◽  
Vol 58 (6) ◽  
pp. 523-533 ◽  
Author(s):  
V.M. Simulik ◽  
◽  
I.Yu. Krivsky ◽  
I.L. Lamer ◽  
◽  
...  
Keyword(s):  
Dirac Equation ◽  
Conservation Laws
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