[PDF] Top 20 Exact Solutions of Three Nonlinear Systems via Exp Function Method
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Exact Solutions of Three Nonlinear Systems via Exp Function Method
... direct method for solving nonlinear ...the exp-function method and its improvements are available for many nonlinear PDEs, such as those in ...the exp-function ... See full document
5
Exact Solutions of Mix Modified KdVs’ Equation by Exp function Method
... new method of solving some nonlinear equation in 2006, which is the Exp-function ...concise method, was successfully applied to obtain generalized solitary solutions and periodic ... See full document
7
Multiwave Solutions for the Toda Lattice Equation by Generalizing Exp-Function Method
... solving nonlinear partial differential equations (PDEs), such as the inverse scattering method [6], Hirota’s bilinear method [7], B¨acklund transformation [8], Painlev´e expansion [9], homogeneous ... See full document
6
Generalized Exp $\phi(\xi))$-expansion Method for Solving Non-linear Evolution Equations
... handle nonlinear evolution equations with constant coefficients and time dependent ...finding exact solutions of nonlinear evolution equations have been proposed, such as, the extended ... See full document
7
A Generalized Tanh Function Type Method and the(G'/G) Expansion Method for Solving
... for exact solutions of nonlinear partial differential equations (NLPDEs) plays an important role in the study of nonlinear physical phenomena and be- comes one of the most exciting and ... See full document
6
The Basic (G'/G) Expansion Method for the Fourth Order Boussinesq Equation
... wave solutions of NLEEs is enhancing and has now become a hot topic to re- ...exact solutions. For example, the Hirota’s bilinear transformation method [1,2], the Back- lund transformation ... See full document
9
Exact solutions of two nonlinear partial differential equations by using the first integral method
... obtaining exact solutions of nonlinear partial differential equations (PDEs) has become more and more stimulating for mathematicians and ...Having exact so- lutions of nonlinear PDEs ... See full document
9
New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics
... tanh method to obtain the solitons and periodic solutions of the DBM and Tzitz´ eica-Dodd-Bullough (TDB) ...)-expansion method to find more general exact solutions of the Tzitzica, DBM, ... See full document
26
Modified Simple Equation Method and its Applications for some Nonlinear Evolution Equations in Mathematical Physics
... to nonlinear evolution equations in various fields of science and ...transformation method [1], the Hirota bilinear transform method [2], the Painleve integration method [3-6], the Backlund ... See full document
6
Exact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics
... finding exact solutions to nonlinear equa- tions is important for the understanding of most nonlinear physical ...the nonlinear wave phenomena observed in fluid dynamics, plasma and op- ... See full document
8
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... proximation method [6] and generalized differential transform method [7] [8] have been used to find the numer- ical solutions for fractional order differential ...-expansion method was ... See full document
7
Solitary Wave solutions of the BK equation and ALWW system by using the first integral method
... phenomena. Nonlinear phenomena appear in a wide vari- ety of scientific applications such as plasma physics, solid state physics, fluid ...these nonlinear phenomena, many mathematicians and physical ... See full document
11
New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
... some nonlinear partial differential equations have been converted into an ...series method for equations with similar linear part, the researchers have earned the exact soliton solutions of ... See full document
6
Regarding rational exponential and hyperbolic functions solutions of conformable time-fractional Phi-four equation
... expressed via nonlinear evolution equations in physical and natural ...of solutions of corresponding nonlinear PDEs. The exact solutions have always been a particular importance ... See full document
13
Symmetry reduction and exact solutions of two higher dimensional nonlinear evolution equations
... higher-dimensional nonlinear evolution equations (NLEEs) are obtained by Lie group ...in nonlinear sciences. We derive exact solutions to these NLEEs via the exp(– φ ... See full document
19
Advance Exp (-Φ(ξ)) Expansion Method and Its Application to Find the Exact Solutions for Some Important Coupled Nonlinear Physical Models
... advance exp(- ( )) Φ ξ -expansion method has been successfully implemented to construct new generalized traveling wave solutions to the classical Boussineq equation and the (2+1) dimensional BKP ... See full document
10
Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by $\exp(-\Phi(\xi))$-Expansion method
... of nonlinear partial differential ...an exact traveling wave solutions of fractional models which yields to frac- tional differential ...the nonlinear partial differential equation to the ... See full document
7
Application of modified simple equation method to Burgers, Huxley and Burgers-Huxley equations
... few nonlinear partial differential equations which can be solved exactly for the restricted set of initial ...MSE method on equation (4), lets introduce a variable ξ , defined ... See full document
16
Exact Traveling Wave Solution for Nonlinear Fractional Partial Differential Equation Arising in Soliton using the exp( f(?)) Expansion Method
... The objective of this article is to apply The exp((−𝜑(𝜉))- expansion method for finding the exact traveling wave solution of the space-time nonlinear fractional PKP equation, t[r] ... See full document
6
Approximate Analytical Solutions to Nonlinear Oscillations of Non-Natural Systems Using He's Energy Balance Method
... perturbation method [4–7, 33– 35], perturbation techniques [8], Lindstedt-Poincar´ e method [9, 10], parameter–expansion method [11, 12] and Parameterized perturbation method [13, ... See full document
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