Sentence examples for peaked solution from inspiring English sources

It is observed that the peaked solution of the Camassa-Holm equation is not a smooth solution.

Fornberg and Whitham obtained a peaked solution of the form u x, t) = Ae −1/2(|x−4t/3|) where A is an arbitrary constant.

This MCH2 system admits peaked solutions in the velocity and average density [20 23].

Although possessing peaked solutions in the velocity, the CH2 system does not admit singular solutions in the density profile.

System (4) admits peaked solutions in the velocity and average density [22], but it is not integrable unlike system (3).

The MCH2 system does admit peaked solutions in the velocity and average density; we refer to Ref. [1] for details.

The solitary waves of the Camassa-Holm equation are peaked solutions and are orbitally stable [24]; see also [25] for a very related rod equation.

In this paper, the Riccati-Bernoulli sub-ODE method is proposed to construct traveling wave solutions, solitary wave solutions, and peaked wave solutions of NLPDEs.

The Riccati-Bernoulli sub-ODE method is successfully used to establish exact traveling wave solutions, solitary wave solutions and peaked wave solutions of NLPDEs.

The Riccati-Bernoulli sub-ODE method is firstly proposed to construct exact traveling wave solutions, solitary wave solutions, and peaked wave solutions for nonlinear partial differential equations.

By applying the Riccati-Bernoulli sub-ODE method to the Eckhaus equation, the nonlinear fractional Klein-Gordon equation, the generalized Ostrovsky equation, and the generalized Zakharov-Kuznetsov-Burgers equation, traveling solutions, solitary wave solutions, and peaked wave solutions are obtained directly.