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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

Zai-yun ZHANG
Pages
259–267
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:Domain Parameters

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.

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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/377912

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