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Static deformation of a multilayered one-dimensional hexagonal quasicrystal plate with piezoelectric effect 被引量:5
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作者 Tuoya SUN Junhong GUO Xiaoyan ZHANG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2018年第3期335-352,共18页
Quasicrystals (QCs) are sensitive to the piezoelectric (PE) effect. This paper studies static deformation of a multilayered one-dimensional (1D) hexagonal QC plate with the PE effect. The exact closed-form solut... Quasicrystals (QCs) are sensitive to the piezoelectric (PE) effect. This paper studies static deformation of a multilayered one-dimensional (1D) hexagonal QC plate with the PE effect. The exact closed-form solutions of the extended displacement and traction for a homogeneous piezoelectric quasicrystal (PQC)plate are derived from an eigensystem. The general solutions for multilayered PQC plates are then obtained using the propagator matrix method when mechanical and electrical loads are applied on the top surface of the plate. Numerical examples for several sandwich plates made up of PQC, PE, and QC materials are provided to show the effect of stacking sequence on phonon, phason, and electric fields under mechanical and electrical loads, which is useful in designing new composites for engineering structures. 展开更多
关键词 quasicrystal (QC) piezoelectric (PE) effect multilayered plate exactsolution static deformation
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The extended auxiliary the KdV equation with equation method for variable coefficients 被引量:8
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作者 Shi Lan-Fang Chen Cai-Sheng Zhou Xian-Chun 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第10期166-170,共5页
This paper applies an extended auxiliary equation method to obtain exact solutions of the KdV equation with variable coefficients. As a result, solitary wave solutions, trigonometric function solutions, rational funct... This paper applies an extended auxiliary equation method to obtain exact solutions of the KdV equation with variable coefficients. As a result, solitary wave solutions, trigonometric function solutions, rational function solutions, Jacobi elliptic doubly periodic wave solutions, and nonsymmetrical kink solution are obtained. It is shown that the extended auxiliary equation method, with the help of a computer symbolic computation system, is reliable and effective in finding exact solutions of variable coefficient nonlinear evolution equations in mathematical physics. 展开更多
关键词 extended auxiliary equation method KdV equation with variable coefficients exactsolutions
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Solitary Wave and Doubly Periodic Wave Solutions to Three-Dimensional Nizhnik-Novikov-Veselov Equation
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作者 BAI Cheng-Jie HAN Ji-Guang +1 位作者 WANG Wei-Tao AN Hong-Yong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第5期1241-1244,共4页
The generalized transformation method is utilized to solve three-dimensional Nizhnik-Novikov-Veselov equation and construct a series of new exact solutions including kink-shaped and bell-shaped soliton solutions, trig... The generalized transformation method is utilized to solve three-dimensional Nizhnik-Novikov-Veselov equation and construct a series of new exact solutions including kink-shaped and bell-shaped soliton solutions, trigonometric function solutions, and Jacobi elliptic doubly periodic solutions. Among them, the Jacobi elliptic periodic wave solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with the existing tanh methods and Jacobi function method, the method we used here gives more general exact solutions without much extra effort. 展开更多
关键词 generalized transformation method (3+1)-dimensional Nizhnik-Novikov-Veselov equation exactsolution KdV equation mKdV equation cubic nonlinear Klein-Gordon equation
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A New Algebraic Method and Its Application to Nonlinear Klein-Gordon Equation
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作者 GONG Lun-Xun PAN Jun-Ting 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第12期1276-1278,共3页
In terms of the solutions of the generalized Riccati equation,a new algebraic method,which contains theterms of radical expression of functions f(ξ),is constructed to explore the new exact solutions for nonlinear evo... In terms of the solutions of the generalized Riccati equation,a new algebraic method,which contains theterms of radical expression of functions f(ξ),is constructed to explore the new exact solutions for nonlinear evolutionequations.Being concise and straightforward,the method is applied to nonlinear Klein Gordon equation,and some newexact solutions of the system are obtained.The method is of important significance in exploring exact solutions for othernonlinear evolution equations. 展开更多
关键词 generalized Riccati equation travelling wave solutions nonlinear Klein-Gordon equation exactsolution
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