Sentence examples for many conservation laws from inspiring English sources

In the following, we will derive infinitely many conservation laws for (1).

Equation (1.3) possesses the Lax pair and bi-Hamiltonian structures and infinite many conservation laws [1].

Remark 1 Due to the presence of the arbitrary function f in the multiplier, one can obtain infinitely many conservation laws.

In 1981, it was originally derived as a bi-Hamiltonian equation with infinitely many conservation laws by Fokas and Fuchssteiner [14].

The equation has been proved to have integrability properties, such as a Lax pair, the Hamiltonian structure, infinite many conservation laws, and so on [1, 2].

The Camassa-Holm equation also has a bi-Hamiltonian structure [14, 16] and is completely integrable [15, 17, 18], and it possesses infinitely many conservation laws and is solvable by its corresponding inverse scattering transform [19, 20].

We note that since the functions E ( t ) and F ( t ) are arbitrary, one obtains infinitely many nonlocal conservation laws for the system (1a) and (1b).

We see that for the arbitrary values of E ( t ) and F ( t ), infinitely many nonlocal conservation laws exist for the system (1a) and (1b).

Wild animals, many protected by conservation laws, include the brown bear, eagles, buzzards, falcons, owls, cranes, swans, and storks.

System (1.2) also conserves conservation laws.

These kinds of PDEs are based on conservation laws and have applications in many engineering problems (LeVeque 2004).