[HTML][HTML] New solutions of Gardner's equation using two analytical methods

B Ghanbari, D Baleanu - Frontiers in Physics, 2019 - frontiersin.org
This article introduces and applies new methods to determine the exact solutions of partial
differential equations that will increase our understanding of the capabilities of applied …

[HTML][HTML] Exp-function method for some nonlinear PDE's and a nonlinear ODE's

K Parand, JA Rad - Journal of King Saud University-Science, 2012 - Elsevier
In this paper, we apply the Exp-function method to find some exact solutions for two
nonlinear partial differential equations (NPDE) and a nonlinear ordinary differential equation …

[HTML][HTML] Exp and modified Exp function methods for nonlinear Drinfeld–Sokolov system

J Biazar, Z Ayati - Journal of King Saud University-Science, 2012 - Elsevier
In this paper, Exp-function and its modification methods have been applied to obtain an
exact solution of the nonlinear Drinfeld–Sokolov system (DS). Modification of the method …

Explicit Exact Solutions of Nonlinear Transient Thermal Models of a Porous Moving Fin using Laplace transform-Exp-function method

GM Sobamowo, JN Ojuro, O Onanuga… - The Journal of …, 2023 - periodicos.ufv.br
The present paper develops explicit and non-power series exact solutions to the nonlinear
heat transfer models of conductive-radiative-convective moving-porous fin using Laplace …

Analyzing of approximate symmetry and new conservation laws of perturbed generalized Benjamin-Bona-Mahony equation

M Jafari, R Darvazebanzade - AUT Journal of Mathematics and …, 2024 - ajmc.aut.ac.ir
Analyzing of approximate symmetry and new conservation laws of perturbed gen- eralized
Benjamin-Bona-Mahony equation Page 1 AUT Journal of Mathematics and Computing AUT J …

[HTML][HTML] Determination of source term for the fractional Rayleigh–Stokes equation with random data

TT Binh, D Baleanu, NH Luc, NH Can - Journal of Inequalities and …, 2019 - Springer
In this article, we consider the problem of finding a source term of a Rayleigh–Stokes
equation. Our problem is not well-posed in the sense of Hadamard. The sought solution …

[HTML][HTML] The exp-function method and generalized solitary solutions

JR Chang - Computers & Mathematics with Applications, 2011 - Elsevier
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Application of Exp-function method for a class of nonlinear PDE's arising in mathematical physics

K Parand, J Amani Rad, A Rezaei - Journal of Applied …, 2011 - koreascience.kr
In this paper we apply the Exp-function method to obtain traveling wave solutions of three
nonlinear partial differential equations, namely, generalized sinh-Gordon equation …

Exact traveling wave solutions for some nonlinear evolution equations

J Lee, R Sakthivel - 2009 - projecteuclid.org
In this paper, we obtain many traveling wave solutions for some nonlinear partial differential
equations. The modified tanh-coth method with the symbolic computation is imple-mented …

[HTML][HTML] Compact and noncompact structures of a three-dimensional 3DKP (m, n) equation with nonlinear dispersion

M Inc - Applied Mathematics Letters, 2013 - Elsevier
In this paper, we investigate exact-special solutions of the three-dimensional Kadomtsev–
Petviashvili equation (3DKP (m, n)) with nonlinear dispersion. We use the ansatz method …