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In this article we deal with the approximation of solutions of non-linear evolution equations of the form A(u(t))+f(u(t)) = u′(t), the numerical analysis of solutions to this problems will be performe...
We give a complete point-symmetry classification of all third-order evolution equations of the form $u_t=F(t,x,u,u_x, u_{xx})u_{xxx}+G(t,x,u,u_x, u_{xx})$ which admit semi-simple symmetry algebras and...
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of the classical resu...
In this paper, we consider the global existence and the asymptotic behavior of solutions to the Cauchy problem for the following nonlinear evolution equations with ellipticity and dissipative effects:...
2006Vol.46No.5pp.804-806DOI: Jacobi Elliptic Function Solutions of Some Nonlinear Evolution Equations YE Cai-Er Department of Mathematics, Zhejiang Forestry University, ...
2006Vol.45No.2pp.219-223DOI: Trial Equation Method to Nonlinear Evolution Equations with Rank Inhomogeneous: Mathematical Discussions and Its Applications LIU Cheng-Shi ...
2006Vol.45No.2pp.236-238DOI: Exact Solutions of Some (1+1)-Dimensional Nonlinear Evolution Equations SHEN Shou-Feng Department of Mathematics, Zhejiang University of Tec...
2003Vol.40No.2pp.129-132DOI: The Periodic Wave Solutions for Two Nonlinear Evolution Equations ZHANG Jin-Liang,1 WANG Ming-Liang,2,3 CHENG Dong-Ming,2 and FANG Zong-De1 ...
2003Vol.40No.1pp.53-56DOI: Lame Function and Its Application to Some Nonlinear Evolution Equations FU Zun-Tao,1,2 LIU Shi-Kuo,1 LIU Shi-Da,1,2 and ZHAO Qiang1 1 School...
2003Vol.39No.6pp.647-652DOI: A New Generalization of Extended Tanh-Function Method for Solving Nonlinear Evolution Equations ZHENG Xue-Dong, CHEN Yong, LI Biao, and ZHANG Hong-Qi...
2005Vol.44No.3pp.479-482DOI: Solitary Wave and Non-traveling Wave Solutions to Two Nonlinear Evolution Equations YAN Zhi-Lian and LIU Xi-Qiang School of Mathematical Sc...
2004Vol.42No.1pp.74-78DOI: A Direct Algebraic Method in Finding Particular Solutions to Some Nonlinear Evolution Equations LIU Chun-Ping,1 CHEN Jian-Kang,2 and CAI Fan1 ...
2004Vol.42No.5pp.645-648DOI: New Doubly Periodic Solutions of Nonlinear Evolution Equations via Weierstrass Elliptic Function Expansion Algorithm YAN Zhen-Ya Key Laborat...
2004Vol.41No.3pp.353-356DOI: Applications of Computer Algebra in Solving Nonlinear Evolution Equations XIE Fu-Ding1,2 and GAO Xiao-Shan2 1 Department of Computer Science...

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