Journals / Turkish Journal of Physics / 2013 / Cilt: 37 - Sayı: 2

Exact traveling wave solutions of the perturbed Klein--Gordon equation with quadratic nonlinearity in (1+1)-dimension, Part I: Without local inductance and dissipation effect

Pages
259–267
Publication Date
2013-02-01
DOI
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AI Summary & Key Takeaways

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

By using this method, we obtain abundant new types of exact traveling wave solutions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the auxiliary ordinary differential equation is employed to solve the perturbed Klein-Gordon equation with quadratic nonlinearity in the (1+1)-dimension without local inductance and dissipation effect.
📊
Key Findings & Data:In this paper, the auxiliary ordinary differential equation is employed to solve the perturbed Klein-Gordon equation with quadratic nonlinearity in the (1+1)-dimension without local inductance and dissipation effect.
💡
Conclusion & Impact:By using this method, we obtain abundant new types of exact traveling wave solutions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Perturbed Klein-Gordon equation · traveling wave solutions · auxiliary ordinary differential equation method

Abstract

In this paper, the auxiliary ordinary differential equation is employed to solve the perturbed Klein-Gordon equation with quadratic nonlinearity in the (1+1)-dimension without local inductance and dissipation effect. By using this method, we obtain abundant new types of exact traveling wave solutions.

Özet

In this paper, the auxiliary ordinary differential equation is employed to solve the perturbed Klein-Gordon equation with quadratic nonlinearity in the (1+1)-dimension without local inductance and dissipation effect. By using this method, we obtain abundant new types of exact traveling wave solutions.

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Cite This Article

ZHANG, Z. (2013). Exact traveling wave solutions of the perturbed Klein--Gordon equation with quadratic nonlinearity in (1+1)-dimension, Part I: Without local inductance and dissipation effect. Turkish Journal of Physics, Cilt: 37 - Sayı: 2, 259–267. https://ajindex.com/articles/724006

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References (2)

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