Sentence examples for uniqueness of the wave from inspiring English sources

Theorem 3.2 (Existence and uniqueness of the wave front).

Theorem 3.1 (Existence and uniqueness of the wave speed).

2.3.3 reveals novel relationship between the uniqueness of the wave speed and the stability of the traveling wave front.

This question has already been answered in the context of the uniqueness of the wave speed in Sect.

3.2 indicate that traveling wave front is spectrally stable in the absence of delayed feedback due to the uniqueness of the wave speed.

However, in Theorem 4.3, we provided a method to prove the uniqueness of the wave speed in the case that the monotonicity of the speed index function does not hold any more.

The main goal of this paper is the study of the existence and uniqueness of the traveling wave front solutions.

We also prove the existence and uniqueness of the traveling wave solutions of this model equation with the general classes of kernel functions under less restrictive conditions.

Previous studies on propagating front in neural fields involving a single axonal finite transmission speed [11] have established the uniqueness of the traveling wave front.

The existence and uniqueness of the traveling wave fronts of the general integral differential model equation (1.1) arising from neuronal networks with both axonal and delayed nonlocal connections are investigated in this paper.

The theory of planar dynamical systems is applied in this paper to carry out a qualitative analysis to the planar dynamical system corresponding to the bounded traveling wave solution of the Zakharov Kuznetsov Burgers equation, and obtain the existence and uniqueness of the bounded traveling wave solutions.