典型文献
Dynamical Soliton Wave Structures of One-Dimensional Lie Subalgebras via Group-Invariant Solutions of a Higher-Dimensional Soliton Equation with Various Applications in Ocean Physics and Mechatronics Engineering
文献摘要：
Having realized various significant roles that higher-dimensional nonlinear partial differ-ential equations(NLPDEs)play in engineering,we analytically investigate in this paper,a higher-dimensional soliton equation,with applications particularly in ocean physics and mechatronics(electrical electronics and mechanical)engineering.Infinitesimal generators of Lie point symmetries of the equation are computed using Lie group analysis of differen-tial equations.In addition,we construct commutation as well as Lie adjoint representation tables for the nine-dimensional Lie algebra achieved.Further,a one-dimensional optimal system of Lie subalgebras is also presented for the soliton equation.This consequently enables us to generate abundant group-invariant solutions through the reduction of the understudy equation into various ordinary differential equations(ODEs).On solving the achieved nonlinear differential equations,we secure various solitonic solutions.In conse-quence,these solutions containing diverse mathematical functions furnish copious shapes of dynamical wave structures,ranging from periodic,kink and kink-shaped nanopteron,soliton(bright and dark)to breather waves with extensive wave collisions depicted.We physically interpreted the resulting soliton solutions by imploring graphical depictions in three dimensions,two dimensions and density plots.Moreover,the gained group-invariant solutions involved several arbitrary functions,thus exhibiting rich physical structures.We also implore the power series technique to solve part of the complicated differential equa-tions and give valid comments on their results.Later,we outline some applications of our results in ocean physics and mechatronics engineering.
文献关键词：
中图分类号：
作者姓名：
Oke Davies Adeyemo;Chaudry Masood Khalique
作者机构：
International Institute for Symmetry Analysis and Mathematical Modelling,Department of Mathematical Sciences,North-West University,Mafikeng Campus,Private Bag X 2046,Mmabatho 2735,Republic of South Africa
文献出处：
引用格式：
[1]Oke Davies Adeyemo;Chaudry Masood Khalique-.Dynamical Soliton Wave Structures of One-Dimensional Lie Subalgebras via Group-Invariant Solutions of a Higher-Dimensional Soliton Equation with Various Applications in Ocean Physics and Mechatronics Engineering)[J].应用数学与计算数学学报,2022(04):1531-1582
A类：
Subalgebras,Mechatronics,NLPDEs,mechatronics,Infinitesimal,subalgebras,solitonic,copious,nanopteron,imploring,depictions,implore
B类：
Dynamical,Soliton,Wave,Structures,One,Dimensional,Lie,via,Group,Invariant,Solutions,Higher,Equation,Various,Applications,Ocean,Physics,Engineering,Having,realized,various,significant,roles,that,higher,dimensional,nonlinear,partial,equations,play,engineering,analytically,investigate,this,paper,applications,particularly,ocean,physics,electrical,electronics,mechanical,generators,point,symmetries,are,computed,using,group,analysis,addition,construct,commutation,well,adjoint,representation,tables,nine,achieved,Further,one,optimal,system,also,presented,This,consequently,enables,generate,abundant,invariant,solutions,through,reduction,understudy,into,ordinary,differential,ODEs,solving,secure,quence,these,containing,diverse,mathematical,functions,furnish,shapes,dynamical,structures,ranging,from,periodic,kink,shaped,bright,dark,breather,waves,extensive,collisions,depicted,We,physically,interpreted,resulting,by,graphical,three,dimensions,two,density,plots,Moreover,gained,involved,several,arbitrary,thus,exhibiting,rich,power,series,technique,solve,complicated,give,valid,comments,their,results,Later,outline,some,our
AB值：
0.54951
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