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Due to their coarse horizontal resolution, presentday climate models must parameterize deep convection. This paper presents single-column simulations of deep convection using a probability density f...
A multiple exp-function method to exact multiple wave solutions of nonlinear partial differential equations is proposed. The method is oriented towards ease of use and capability of computer algebra s...
Exact solutions of the Kawahara equation by Assas [L.M.B. Assas, J. Com. Appl. Math. 233 (2009) 97--102] are analyzed. It is shown that all solutions do not satisfy the Kawahara equation and conseque...
The Canonical Function Method (CFM) is a powerful accurate and fast method that solves the Schr\"{o}dinger equation for the eigenvalues directly without having to evaluate the eigenfunctions. Its vers...
The quasi-stationary sea surface topography (QSST) and associated oceanic circulation is determined by means of a characteristic function technique. The method was originally implemented in an ideal s...
In this paper, we develop feedback control strategies for linear systems which are controllable. Our solution relies on a controllability functions construction. The state feedbacks obtained are bound...
The Filled Function Method is a class of effective algorithms for continuous global optimization. In this paper, a new filled function method is introduced and used to solve integer programming. Fi...
We propose the variational description of generating function approach of first kind for Hamiltonian ODEs, and extend the approach to the semi-linear wave equations. In this way, we can construct any ...
2007Vol.47No.4pp.587-593DOI: New Formal Solutions of Davey-Stewartson Equation via Combined tanh Function Method with Symmetry Method ZHI Hong-Yan and ZHANG Hong-Qing D...
2007Vol.47No.3pp.474-478DOI: Applications of Extended Hyperbolic Function Method for Quintic Discrete Nonlinear Schrödinger Equation ZHAO Hong, HAN Ji-Guang, WANG Wei-Tao, an...
2007Vol.47No.2pp.200-202DOI: Extended Complex tanh-Function Method and Exact Solutions to(2+1)-Dimensional Hirota Equation ZHAO Hong School of Physics Science and Inform...
2006Vol.45No.6pp.1057-1062DOI: Jacobian Elliptic Function Method and Solitary Wave Solutions for Hybrid Lattice Equation WANG Rui-Min,1 DAI Chao-Qing,2 and ZHANG Jie-Fang2 ...
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...
2003Vol.39No.4pp.405-408DOI: On a New Modified Extended Tanh-Function Method LÜ Zhuo-Sheng and ZHANG Hong-Qing Department of Applied Mathematics, Dalian University ...
2004Vol.41No.6pp.907-910DOI: Green's Function Method for Perturbed sine-Gordon Equation LIU Feng-Ming, CAI Hao, LIU Zheng-You, and HUANG Nian-Ning Department of Physics,...

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