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1.Optimal systems of Lie subalgebras for a two-phase mass flow

关键词：Lie symmetry ; Lie algebra ; Optimal system ; Two-phase mass flow ; Debris flow

刊名：International Journal of Non-Linear Mechanics

出版年：2017

2.Identification and geometric characterization of Lie triple screw systems and their exponential images

作者：Yuanqing Wu ; ^{yuanqing.wu@unibo.it} ; ^{troy.woo@gmail.com} ; Marco Carricato ^{marco.carricato@unibo.it}

关键词：Screw system ; Lie triple system ; Constant-velocity coupling ; Parallel mechanism ; Type synthesis

刊名：Mechanism and Machine Theory

出版年：2017

3.On the simplification of the form of Lie transformation groups admitted by systems of evolution differential equations

作者：Stavros Kontogiorgis ^{kontogiorgis.stavros@ucy.ac.cy} ; Christodoulos Sophocleous ; ^{christod@ucy.ac.cy}

关键词：Nonlinear systems of evolution equations ; Quasi-linear systems of evolution equations ; Lie groups of transformations

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

4.Lie symmetry analysis and exact solutions of (31) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics

作者：S. Sahoo ; S. Saha Ray ; ^{santanusaharay@yahoo.com}

关键词：(3++1) dimensional Yu&ndash ; Toda&ndash ; Sasa&ndash ; Fukuyama (YTFS) equation ; Lie symmetries analysis method ; Infinitesimal generator ; Tanh method

刊名：Computers & Mathematics with Applications

出版年：2017

5.Spin Chern number and topological phase transition on the Lieb lattice with spin-orbit coupling

作者：Rui Chen ; Bin Zhou ; ^{binzhou@hubu.edu.cn}

关键词：Lieb lattice ; Spin&ndash ; orbit coupling ; Topological phase transition

刊名：Physics Letters A

出版年：2017

6.Lie symmetries of the shigesada-Kawasaki-Teramoto system

作者：Roman Cherniha ; ^a ; ^{r.m.cherniha@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; ^{cherniha@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Vasyl&rsquo ; Davydovych^a ; Liliia Muzyka^b

关键词：Reaction-diffusion system ; Cross-diffusion ; Lie symmetry ; Exact solution

刊名：Communications in Nonlinear Science and Numerical Simulation

出版年：2017

7.Kac-Wakimoto character formula for ortho-symplectic Lie superalgebras

作者：Shun-Jen Cheng^a ; ¹ ; ^{chengsj@math.sinica.edu.tw" class="auth_mail" title="E-mail the corresponding author} ; Jae-Hoon Kwon^b ; ² ; ^{jaehoonkw@snu.ac.kr" class="auth_mail" title="E-mail the corresponding author}

关键词：Ortho-symplectic Lie superalgebras ; Kac&ndash ; Wakimoto formula

刊名：Advances in Mathematics

出版年：2017

8.Lie symmetries and equivalence transformations for the Barenblatt-Gilman model

作者：T.M. Garrido^a ; ^{tamara.garrido@uca.es} ; A.A. Kasatkin^b ; ^{alexei_kasatkin@mail.ru} ; M.S. Bruz&oacute ; n^a ; ^{m.bruzon@uca.es} ; R.K. Gazizov^b ; ^{gazizov@mail.rb.ru}

关键词：Barenblatt&ndash ; Gilman equation ; Lie group analysis ; Equivalence transformations ; Travelling wave solutions

刊名：Journal of Computational and Applied Mathematics

出版年：2017

9.Lie symmetry analysis, conservation laws, solitary and periodic waves for a coupled Burger equation

作者：Mei-Juan Xu^a ; Shou-Fu Tian^a ; ^b ; ^{sftian@cumt.edu.cn} ; ^{shoufu2006@126.com} ; Jian-Min Tu^a ; Tian-Tian Zhang^a ; ^{ttzhang@cumt.edu.cn}

关键词：A coupled Burger equation ; Lie group method ; Conservation laws ; Painlev&eacute ; analysis ; Auto-Bä ; cklund transformation ; Solitary and periodic waves

刊名：Superlattices and Microstructures

出版年：2017

10.Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems

作者：A.N. Sergeev^a ; ^b ; ^{SergeevAN@info.sgu.ru" class="auth_mail" title="E-mail the corresponding author} ; A.P. Veselov^c ; ^d ; ^{A.P.Veselov@lboro.ac.uk" class="auth_mail" title="E-mail the corresponding author}

关键词：Symmetric Lie superalgebras ; Quantum Calogero&ndash ; Moser systems

刊名：Advances in Mathematics

出版年：2017

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