[PDF] Top 20 A New Extended (G'/G) Expansion Method to Find Exact Traveling Wave Solutions of Nonlinear Evolution Equations

... complex nonlinear phenomena in plasma physics, fluid dynamics, chemistry, biology, mechanics, elastic media and optical fibers ...by nonlinear evolution ...phenomena, exact solutions have ... See full document

... the new approach against the basic (G ′ /G)-expansion method is that the method provides more general and large amount of new exact traveling wave ... See full document

... of new exact traveling wave solutions with several free ...The exact solutions have its great importance to expose the inner mechanism of the complex physical ... See full document

... -expansion method [13]-[19], sine-cosine method [20], the modified simple equation method [21], the ( G G ′ ) -expansion method [22] [23], the modified ... See full document

... transformation method [11], the Hopf-Coletrans formation [12], the Miura transformation [13], the Jacobi elliptic function method [14], the A domian decomposition method [15] [16], the method ... See full document

... differential equations which are linear or nonlinear, homogeneous or inhomoge- ...differential equations relating physical phenomena are ...of solutions of li- near differential ... See full document

...  G G   -expansion method has been extended to solve the nonlinear partial differential equation of frac- tional order, in the sense of modified Riemann-Liouville ...fractional ... See full document

... the new approach of generalized ( G ′ / G ) -expansion method for the exact solution to this equation and constructed some new solutions which are not found in the ... See full document

... eica evolution equations, for example, Wazwaz [22] introduced the tanh method to obtain the solitons and periodic solutions of the DBM and Tzitz´ eica-Dodd-Bullough (TDB) ...( G ... See full document

... -expansion method is quite efficient and practically will suited for use in finding exact solutions for the problem considered ...here. New and more general excat solutions with ... See full document

... differential equations. In nonlinear science it is of great importance and interest to explain physical models and attain analytical ...by nonlinear partial differential ...solitary wave ... See full document

... of solutions of the NLEEs equations permit the unscrambling of mechanisms pertain- ing to compound nonlinear ...cial exact solutions data that may seem not to have a clear physical ... See full document

... elliptic method [6], the standard tanh and extended tanh methods [7-11], the exp-function method [12-13], the inverse scattering method [14] and others have been proposed to obtain ... See full document

... of nonlinear partial differential equations in modelling physical phenomena has become an important ...travelling wave solutions plays an important role in nonlinear ...bilinear ... See full document

... establishing exact traveling wave solutions to nonlinear evolution equations ...the method has been implemented to find the traveling wave ... See full document

... travelling wave solutions of NLPDEs play an important role in the study of nonlinear physical ...for exact solutions to nonlinear evolution equations (NLEEs) has ... See full document

... Abstract Exact solutions of nonlinear evolution equations (NLEEs) play very important role to make known the inner mechanism of compound physical ...the new generalized ( ... See full document

... The exact solutions of nonlinear evolution equations (NLEEs) play a crucial role to make known the internal mechanism of compound physical ...the new generalized ( G ′ / ... See full document

... balance method, the article obtains solutions of the Burgers-Huxley equation and two kinds of transformation type by the G'/G expansion method, making the Burgers-Huxley equation ... See full document

... the exact traveling wave solutions of the nonlinear differential Equations, such as the inverse scattering method [1], Jacobi elliptic function expansion ... See full document