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Journals / New Trends in Mathematical Sciences / 2016 / Cilt: 4 Sayı: 4

Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation

Emrullah Yasar(Uludag University)
Pages
163–174
Publication Date
2016-12-31
DOI
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AI Summary & Key Takeaways

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

Lastly, local conservation laws were constructed by using the multiplier and Ibragimov’s nonlocal conservation method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we considered the (3+1) dimensional a B-type Kademtsev-Petviashvili (KP) equation.
📊
Key Findings & Data:Using the Lie group analysis, the symmetry reductions and exact analytic solutions were obtained.
💡
Conclusion & Impact:Lastly, local conservation laws were constructed by using the multiplier and Ibragimov’s nonlocal conservation method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lie symmetry · exact solution · conservation laws

Abstract

In this study, we considered the (3+1) dimensional a B-type Kademtsev-Petviashvili (KP) equation. Using the Lie group analysis, the symmetry reductions and exact analytic solutions were obtained. Traveling wave solutions were also deduced. Lastly, local conservation laws were constructed by using the multiplier and Ibragimov’s nonlocal conservation method.

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Cite This Article

Yasar, E. (2016). Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation. New Trends in Mathematical Sciences, Cilt: 4 Sayı: 4, 163–174. https://ajindex.com/articles/1003796

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