Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities

Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities

In this work, we study a variety of nonlinear evolution equations with logarithmic nonlinearities. We will examine the logarithmic KdV-like equations, the logarithmic KP-like equations, and the logarithmic Klein–Gordon equations. We show that these equations possess Gaussons: solitary wave solutions...

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Veröffentlicht in:Nonlinear dynamics 2016, Vol.83 (1-2), p.591-596
1. Verfasser: Wazwaz, Abdul-Majid
Format: Artikel
Sprache:eng
Schlagworte:
Automotive Engineering
Chaos theory
Classical Mechanics
Control
Dynamical Systems
Engineering
Gaussian
Klein-Gordon equation
Mathematical analysis
Mechanical Engineering
Nonlinear dynamics
Nonlinear equations
Nonlinear evolution equations
Nonlinear programming
Nonlinearity
Original Paper
Solitary waves
Vibration
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Beschreibung
Zusammenfassung:In this work, we study a variety of nonlinear evolution equations with logarithmic nonlinearities. We will examine the logarithmic KdV-like equations, the logarithmic KP-like equations, and the logarithmic Klein–Gordon equations. We show that these equations possess Gaussons: solitary wave solutions of Gaussian shape.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2349-x