Single Solitary Wave and Wave Generation Solutions of the Regularised Long Wave (RLW) Equation

Başhan, Ali

doi:10.35378/gujs.892116

Gazi University Journal of Science

2022

DOI: 10.35378/gujs.892116

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Single Solitary Wave and Wave Generation Solutions of the Regularised Long Wave (RLW) Equation

Ali Başhan

Abstract: Highlights• This paper focuses on single solitary wave and wave generation solutions of the RLW equation.• An effective algorithm is proposed for numerical solution of the RLW equation.• High accurate solutions of the RLW equation were obtained.

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2023

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Orbital stability of periodic traveling waves to some coupled BBM equations

Zhao

Xing

2023

MATH

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<abstract><p>In this work, we show some results concerning the orbital stability of dnoidal wave solutions to some Benjamin-Bona-Mahony equations (BBM equations henceforth). First, by the standard argument, we prove the existence of a smooth curve of positive traveling wave solutions of dnoidal type. Then, we show that this type of solutions are orbitally stable by perturbations with the same period L. The major tools to obtain these results are the Grillaks, Shatah and Strauss' general theory in the periodic case. The results in the present paper extend some previous stability results for the BBM equations.</p></abstract>

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Orbital stability of periodic traveling waves to some coupled BBM equations

Zhao

Xing

2023

MATH

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Single Solitary Wave and Wave Generation Solutions of the Regularised Long Wave (RLW) Equation

Abstract: Highlights• This paper focuses on single solitary wave and wave generation solutions of the RLW equation.• An effective algorithm is proposed for numerical solution of the RLW equation.• High accurate solutions of the RLW equation were obtained.

Cited by 1 publication

References 46 publications

Orbital stability of periodic traveling waves to some coupled BBM equations

Orbital stability of periodic traveling waves to some coupled BBM equations

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