Sentence examples for a solitary solution from inspiring English sources

On the basis of the variational principle obtained, a solitary solution is obtained, which is the same as Debnath's result [L.

This study is designed to propose a solitary-solution formulation method by applying transformation and ancient Chinese algorithm.

The possibility of producing functional replica of tissues and organs can offer a common, solitary solution for various kinds of inflictions.

We have investigated the existence domain of solitary solution through a parametric analysis and found that this domain is dependent on the suprathermality, ion concentration and ion temperature.

A homoclinic orbit of Eq. (8) gives a solitary wave solution of Eq. (7).

This subsection is mainly concerned with a solitary wave solution tending to a non-zero constant at infinity of (1.1).

It is known that a solitary wave solution of Eq. (16) corresponds to a homoclinic orbit of Eq. (19).

But the main goal of this paper is to prove that a solitary wave solution with non-zero boundary could be orbitally stable.

By a perturbation method the problem is reduced to a one-dimensional one, for which a solitary wave solution was obtained by van Dam (2000) [Self-stabilizing criticality waves. Annals of Nuclear Energy 27, 1505].

So, we obtain the following theorem under the condition 2 ω α 2 + γ = 0. Theorem 4.1 Suppose that φ is a solitary wave solution for c > 2 ω, if d ″ ( c ) > 0, then φ is stable.

It is important to note that if a phase portrait of a dynamical system has a homoclinic orbit at an equilibrium point of the system, then the system has a solitary wave solution corresponding to the homoclinic orbit at that point.