Lie symmetries analysis and conservation laws for the fractional Calogero-Degasperis-Ibragimov-Shabat equation

被引：11

作者：

Sahoo, S. ^{[1
]}

Ray, S. Saha ^{[2
]}

机构：

[1] Kalinga Inst Ind Technol, Dept Math, Bhubaneswar 751024, Odisha, India

[2] Natl Inst Technol, Dept Math, Rourkela 769008, India

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2018年 / 15卷 / 07期

关键词：

Time fractional Calogero-Degasperis-Ibragimov-Shabat equation; Erdelyi-Kober operator; Lie symmetries analysis; new conservation laws; symmetry; PARTIAL-DIFFERENTIAL-EQUATION; NONLOCAL SYMMETRIES; REDUCTION; BURGERS;

D O I：

10.1142/S0219887818501104

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The present paper includes the study of symmetry analysis and conservation laws of the time-fractional Calogero-Degasperis-Ibragimov-Shabat (CDIS) equation. The Erdelyi-Kober fractional differential operator has been used here for reduction of time fractional CDIS equation into fractional ordinary differential equation. Also, the new conservation theorem has been used for the analysis of the conservation laws. Furthermore, the new conserved vectors have been constructed for time fractional CDIS equation by means of the new conservation theorem with formal Lagrangian.

引用

页数：11

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