Optimal System and Similarity reductions of a Kind of modi ed Korteweg-de Vries Equation
Publish Year: 1401
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
MATHEMATICS10_114
تاریخ نمایه سازی: 24 خرداد 1401
Abstract:
In this article, we analyze the group variable for modi ed Korteweg-de Vries (mKdV) equation using the Lie group analysise method. It shows that this equation canbe reduced to ODE. We are determined the in nitesimal generators, commutator table of Lie algebra, symmetry group, and similarity reduction for the mKdV equation. Fur-thermore, optimal system, preliminary classi cation of its group invariant solutions and symmetry reduction are examined. Finally this paper shows how to construct directlythe local conservation laws for this equation.
Keywords:
Lie symmetry , modi ed Korteweg-de Vries (mKdV) equation , Optimal sys- tem , Similarity solutions , Conservation laws.
Authors
Mehdi Jaafari
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.
Mojdeh Gandommalamiri
Department of Mathematics, Payame Noor University, PO BOX ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.