[PDF] Top 20 The tanh coth method for some nonlinear pseudoparabolic equations with exact solutions

... Equations with a one-time derivative appearing in the highest order term are called pseu- doparabolic and arise in many areas of mathematics and physics. They have been used, for instance, for fluid flow in fissured ... See full document

... the tanh-coth method and traveling wave transformation method for solving Gardner equations, including (1 + 1)-Gardner and (2 + 1)- Gardner ...The tanh-coth method ... See full document

... using tanh-coth method. These equations discussed by wazwaz[1] when ...the tanh-coth method. In Section 4, we apply this method to finding exact ... See full document

... extended tanh method is used to construct exact solutions of the generalized combined sinh-cosh-Gordon equations and the generalized double combined sinh-cosh-Gordon equations ... See full document

... of nonlinear partial differential equations (PDEs) appears in describing the nonlinear phenomena in various fields of ...the exact solutions of non- linear PDEs, among them inverse ... See full document

... no exact analytical solutions been presented for ...new exact closed form solutions for ...the solutions presented here are significant in many ...the tanh procedure then we ... See full document

... Investigating exact solutions of nonlinear evolution equations plays an important role in nonlinear ...sech solutions and kink-shaped tanh ...these solutions is ... See full document

... 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 ... See full document

... of nonlinear equations has been very active for the past few ...of nonlinear equations that appear in various areas of physical and mathematical ...of exact solutions of ... See full document

... 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

... etc. Nonlinear wave phenomena of diffusion, reaction, dispersion, dissipation, and convection are very important in nonlinear wave ...The exact solutions of NLEEs play an important role in the ... See full document

... obtaining exact solutions of nonlinear partial differential equations (PDEs) has become more and more stimulating for mathematicians and ...Having exact so- lutions of nonlinear ... See full document

... propose tanh–coth and tan-cot, methods to obtain an exact single-soliton and travelling wave solutions of the Hirota equation with a ...the method, we consider the Hirota equation in ... See full document

... 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) ...)-expansion ... See full document

... Abstract The modified tanh-coth function method is used to obtain new exact travelling wave solutions for Zhiber-Shabat equation and the related equations: Liouville equation, sinh-Gordo[r] ... See full document

... 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

... solve nonlinear equations like as finite differ- ence method, finite element method, homotopy analysis method, homotopy perturbation method and variational iteration method ... See full document

... perturbation method (HPM) was first proposed by the Chinese mathematician Ji-Huan He ...perturbation method leads to an analytical approximate and exact solutions of the nonlinear ... See full document

... integrable nonlinear Klien-Gordon equations and toda ...the nonlinear Klein-Gordon equation using radial basis ...generalized nonlinear Klien-Gordon ... See full document

... G G ′ and ( G G ′ ) j σ   1 ( + G G ′ ) 2 µ   , and setting them to zero, we obtain a over-determined system that consists of twenty-five algebraic equations (we omitted these for convenience). Solving this ... See full document