Article

Finding general and explicit solutions of high nonlinear equations by the Exp-Function method.

Computers & Mathematics with Applications 01/2009; 58:2124-2130. pp.2124-2130
Source: DBLP
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    Article: Be careful with the Exp-function method – Additional remarks
    Zenonas Navickas, Minvydas Ragulskis, Liepa Bikulciene
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    ABSTRACT: It is shown that the solution produced by the Exp-function method may not hold for all ini-tial conditions. Riccati and Maccari nonlinear differential equations are used to illustrate that fact. Conditions of existence for the produced solution in the space of initial conditions and in the space of system's parameters are derived using the operator method based on the generalized operator of differentiation. The concept of the expansion of an ordinary dif-ferential equation is introduced and it is shown that the algebraic–analytical solution of Maccari equation can be produced by solving Riccati equation.
    Communications in Nonlinear Science and Numerical Simulation 02/2010; 15:3874-3886. · 2.81 Impact Factor
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.

Z. Z. Ganji