Results 11 to 20 of about 340,065 (284)

Variable Coefficient Exact Solutions for Some Nonlinear Conformable Partial Differential Equations Using an Auxiliary Equation Method

Computation, 2021
The objective of this present paper is to utilize an auxiliary equation method for constructing exact solutions associated with variable coefficient function forms for certain nonlinear partial differential equations (NPDEs) in the sense of the ...
Sekson Sirisubtawee, Nuntapon Thamareerat, Thitthita Iatkliang   +2 more
doaj   +1 more source

Iteration Methods with an Auxiliary Function for Nonlinear Equations

Journal of Mathematics, 2020
Various iterative methods have been introduced by involving Taylor’s series on the auxiliary function g x to solve the nonlinear ...
Faisal Ali, Waqas Aslam, Imran Khalid, Akbar Nadeem   +3 more
openaire   +3 more sources

Bifurcations of solitary wave solutions for (two and three)-dimensional nonlinear partial differential equation in quantum and magnetized plasma by using two different methods

Results in Physics, 2018
In this research, we study new two techniques that called the extended simple equation method and the novel G′G-expansion method. The extended simple equation method depend on the auxiliary equation dϕdξ=α+λϕ+μϕ2 which has three ways for solving depends ...
Mostafa M.A. Khater, Aly R. Seadawy, Dianchen Lu   +2 more
doaj   +1 more source

The Auxiliary Mass Method beyond the Local Potential Approximation [PDF]

, 1999
We show that the evolution equation of the effective potential in the auxiliary mass method corresponds to a leading approximation of a certain series. This series is derived from an evolution equation of an effective action using a derivative expansion.
Aoki, Arnold, Arnold, Arnold, Bartholomew, Bellac, Bellac, Carrington, Csikor, Dasgupta, Dolan, Drummond, Farakos, Fendley, Hebecker, Ilgenfritz, Inagaki, Jakovác, Joe Sato, Kajantie, Kajantie, Kapsta, Karch, Kenzo Ogure, Matsubara, Morris, Morris, Munehisa, Ogure, Ogure, Ogure, Ogure, Rummukainen, Shaposhnikov, Takahashi, Tetradis, Tetradis   +36 more
core   +3 more sources

High-order schemes for the fractional coupled nonlinear Schrödinger equation

Networks and Heterogeneous Media, 2023
This paper considers the fractional coupled nonlinear Schrödinger equation with high degree polynomials in the energy functional that cannot be handled by using the quadratic auxiliary variable method.
Fengli Yin, Dongliang Xu, Wenjie Yang
doaj   +1 more source

Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]

, 2010
An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Biswas, Boyd, Byrd, E.J. Parkes, Jinlong Cao, Lenells, Lenells, Li, Parkes, Parkes, Rosenau, Rosenau, Stepanyants, Vakhnenko, Wazwaz, Xijun Deng, Xu, Zhang, Zhou   +18 more
core   +1 more source

The auxiliary equation method for solving the Zakharov–Kuznetsov (ZK) equation

Computers & Mathematics with Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Hong-Cai, Yu, Yao-Dong, Ge, Dong-Jie
openaire   +1 more source

The double auxiliary equations method and its application to space-time fractional nonlinear equations

Journal of Ocean Engineering and Science, 2019
This paper reflects the execution of a reliable technique which we proposed as a new method called the double auxiliary equations method for constructing new traveling wave solutions of nonlinear fractional differential equation.
L.A. Alhakim, A.A. Moussa
doaj   +1 more source

Exact Solutions of the Nonlinear Modified Benjamin-Bona-Mahony Equation by an Analytical Method

Fractal and Fractional, 2022
The current manuscript investigates the exact solutions of the modified Benjamin-Bona-Mahony (BBM) equation. Due to its efficiency and simplicity, the modified auxiliary equation method is adopted to solve the problem under consideration.
Trad Alotaibi, Ali Althobaiti
doaj   +1 more source

Auxiliary Equation Method for Fractional Differential Equations with Modified Riemann–Liouville Derivative

International Journal of Nonlinear Sciences and Numerical Simulation, 2016
Abstract:In this work, the auxiliary equation method is applied to derive exact solutions of nonlinear fractional Klein–Gordon equation and space-time fractional Symmetric Regularized Long Wave equation. Consequently, some exact solutions of these equations are successfully obtained. These solutions are formed in fractional complex transform to convert
Akbulut, Arzu, Kaplan, Melike, Bekir, Ahmet   +2 more
openaire   +5 more sources