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Journals / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2017 / Cilt: 13 - Sayı: 3

Symmetry Reductions, Exact Solutions and Conservation Laws for the Coupled Nonlinear Klein-Gordon System

İlker Burak GİRESUNLU
Emrullah YAŞAR
Pages
593–599
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In addition, by using the multiplier method, we derive the local conservation laws of the coupled nonlinear Klein-Gordon system.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The Lie group method is applied to a coupled nonlinear Klein-Gordon system.
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Key Findings & Data:The Klein-Gordon system is used to model many nonlinear phenomena including the propagation of dislocations in crystals and the behavior of elementary particles and the propagation of fluxons in Josephson junctions.
💡
Conclusion & Impact:In addition, by using the multiplier method, we derive the local conservation laws of the coupled nonlinear Klein-Gordon system.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The Lie group method is applied to a coupled nonlinear Klein-Gordon system. The Klein-Gordon system is used to model many nonlinear phenomena including the propagation of dislocations in crystals and the behavior of elementary particles and the propagation of fluxons in Josephson junctions. The symmetry reductions and exact solutions which include the stationary and solitary waves are obtained. In addition, by using the multiplier method, we derive the local conservation laws of the coupled nonlinear Klein-Gordon system.

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Cite This Article

GİRESUNLU, İ. B., YAŞAR, E. (2022). Symmetry Reductions, Exact Solutions and Conservation Laws for the Coupled Nonlinear Klein-Gordon System. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 13 - Sayı: 3, 593–599. https://ajindex.com/articles/472297

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