Sentence examples for constructing conservation from inspiring English sources

In this section, we briefly present the notations and theorem which are useful for constructing conservation laws with the aid of Lie-Bäcklund symmetries.

Furthermore, the method of constructing conservation laws of nonlinear partial differential equations with the aid of a new conservation theorem associated with Lie-Bäcklund symmetries is presented.

The method of constructing conservation laws of NLPDEs with the aid of a new conservation theorem associated with Lie-Bäcklund symmetries has been presented.

In Section 5, the method of constructing conservation laws of NLPDEs with the aid of the new conservation theorem associated with Lie-Bäcklund symmetries is presented.

The direct method for constructing conservation laws of PDEs requires the domain M to be topologically trivial, which occurs if each fiber U and the base space X are star-shaped (see Poincaré's lemma).

Ketema and Bauer (2012) reported that the farmers' knowledge gained through training enables them to be equipped with the technical knowhow required for constructing conservation structures and it makes them far-sighted to look for long-term benefits through sustainable production and land management practices rather than immediate benefits obtained at the expense of soil quality.

They also constructed conservation laws using Noether's approach [28].

In this subsection we construct conservation laws for (1) by applying the new conservation theorem [33].

For variational problems, the celebrated Noether theorem [15] provides an elegant way to construct conservation laws.

In this section, we construct conservation laws for the Ito-type KdV system (1a) and (1b).

We now construct conservation laws for ( 3 + 1 ) -dimensional nonlinear BKP equation (1.1).