Results 11 to 20 of about 3,788,461 (324)

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   +2 more sources

The auxiliary equation approach for solving reaction-diffusion equations

Journal of Physics: Conference Series
Abstract The paper concerns the auxiliary equation method and proposes an approach for finding the most general nonlinear term that can generalize a nonlinear differential equation, so that it keeps solutions expressed in terms of the same auxiliary equation.
A. Pauna
openaire   +2 more sources

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   +6 more sources

New exact soliton wave solutions appear in optical fibers with Sardar sub equation and new auxiliary equation techniques. [PDF]

Sci Rep
This paper comprehensively analyzes exact solutions for the nonlinear long-short wave interaction system within the optical field. Consider two general techniques in this field, the Sardar sub-equation method, and a new auxiliary-equation technique ...
Asghar U, Asjad MI, Hamed YS, Akgul A, Hassani MK.   +4 more
europepmc   +2 more sources

Auxiliary equation method for time-fractional differential equations with conformable derivative

Computers & Mathematics with Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arzu Akbulut, Melike Kaplan
openaire   +4 more sources

A Comparative Study of Time Fractional Nonlinear Drinfeld–Sokolov–Wilson System via Modified Auxiliary Equation Method

Fractal and Fractional, 2023
The time-fractional nonlinear Drinfeld–Sokolov–Wilson system, which has significance in the study of traveling waves, shallow water waves, water dispersion, and fluid mechanics, is examined in the presented work.
G. Akram, Maasoomah Sadaf, Iqra Zainab, Muhammad Abbas, A. Akgül   +4 more
semanticscholar   +1 more source

Stability Analysis for Linear Systems with a Differentiable Time-Varying Delay via Auxiliary Equation-Based Method

Electronics, 2022
This paper concentrates on the stability problem for linear systems with a differentiable time-varying delay via an auxiliary equation-based method. By supposing that the second-order derivative of the system state is available, an auxiliary equation is ...
Zongming Yin, Xiefu Jiang, Ning Zhang, Weihua Zhang   +3 more
semanticscholar   +1 more source

Spreading Speed in A Nonmonotone Equation with Dispersal and Delay

Mathematics, 2019
This paper is concerned with the estimation of spreading speed of a nonmonotone equation, which involves time delay and nonlocal dispersal. Due to the time delay, this equation does not generate monotone semiflows when the positive initial value is given.
Xi-Lan Liu, Shuxia Pan
doaj   +1 more source

Light-Front Bethe-Salpeter Equation [PDF]

, 1999
A three-dimensional reduction of the two-particle Bethe-Salpeter equation is proposed. The proposed reduction is in the framework of light-front dynamics. It yields auxiliary quantities for the transition matrix and the bound state. The arising effective
B. V. Carlson, C.-R. Ji, C.-R. Ji, C.-R. Ji, E. E. Salpeter, F. Gross, F. Gross, G. A. Miller, G. A. Miller, J. Carbonell, J. Fleischer, J. Fleischer, J. Fleischer, J. H. O. Sales, K. Kusaka, L. L. Frankfurt, L. L. Frankfurt, M. G. Fuda, M. G. Fuda, M. J. Zuilhof, N. C. J. Schoonderwoerd, P. A. M. Dirac, P. G. Blunden, P. G. Blunden, P. U. Sauer, R. J. Perry, R. M. Woloshyn, S. Glasek, S. J. Brodsky, S. Weinberg, T. Frederico, T. Frederico, T. Nieuwenhuis, T. Nieuwenhuis, V. Pascalutsa   +34 more
core   +4 more sources

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