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We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Exampl...
2007Vol.47No.6pp.975-980DOI: Approximate Generalized Conditional Symmetries for Perturbed Evolution Equations ZHANG Shun-Li,1,2 WANG Yong,1 and LOU Sen-Yue2 1 Center for...
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.5pp.785-789DOI: Extended Riccati Equation Rational Expansion Method and Its Application to Nonlinear Stochastic Evolution Equations WANG Mei-Jiao1 and WANG Qi2,3 ...
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.3pp.257-260DOI: A Unified Explicit Construction of 2N-Soliton Solutions for Evolution Equations Determined by 2×2 AKNS System ZHOU Zhen-Jiang and LI Zhi-Bin ...
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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