Lie Symmetry Analysis, Explicit Solutions and Conservation Laws of a Spatially Two-Dimensional Burgers-Huxley Equation

被引：25
作者：
Hussain, Amjad [1 ]
Bano, Shahida [1 ]
Khan, Ilyas [2 ]
Baleanu, Dumitru [3 ,4 ,5 ]
Nisar, Kottakkaran Sooppy [6 ]
机构：
[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City 72915, Vietnam
[3] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey
[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40447, Taiwan
[5] Inst Space Sci, Magurele 077125, Romania
[6] Prince Sattam bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Al Kharj 11991, Saudi Arabia
来源：
SYMMETRY-BASEL | 2020年 / 12卷 / 01期
关键词：
Burgers-Huxley equation; Lie symmetry method; conservation laws; Exact solutions; TRAVELING-WAVE SOLUTIONS; NUMERICAL-SOLUTION; SOLVE;
D O I：
10.3390/sym12010170
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we investigate a spatially two-dimensional Burgers-Huxley equation that depicts the interaction between convection effects, diffusion transport, reaction gadget, nerve proliferation in neurophysics, as well as motion in liquid crystals. We have used the Lie symmetry method to study the vector fields, optimal systems of first order, symmetry reductions, and exact solutions. Furthermore, using the power series method, a set of series solutions are obtained. Finally, conservation laws are derived using optimal systems.
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页数：13
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