Results 21 to 30 of about 3,788,461 (324)
A Reliable Treatment for Nonlinear Differential Equations
Journal of Mathematics, 2021 In this paper, we use the concept of homotopy, Laplace transform, and He’s polynomials, to propose the auxiliary Laplace homotopy parameter method (ALHPM).
H. R. Marasi +3 more
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Auxiliary master equation approach to nonequilibrium correlated impurities [PDF]
Physical Review B, 2014 We present a numerical method for the study of correlated quantum impurity problems out of equilibrium, which is particularly suited to address steady state properties within Dynamical Mean Field Theory. The approach, recently introduced in [Arrigoni et al., Phys. Rev. Lett.
Dorda, Antonius +3 more
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Infinitely Many Elliptic Solutions to a Simple Equation and Applications
Abstract and Applied Analysis, 2013 Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems.
Long Wei, Yang Wang
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Power series expansions of arbitrary order functional difference equations [PDF]
Notes on Number Theory and Discrete MathematicsThis paper looks at some real and complex generalizations of power series associated with some arbitrary order functional difference equations considered as generalizations and extensions of Fibonacci and Lucas numbers.
Anthony G. Shannon +2 more
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Alexandria Engineering Journal, 2021 Over the last few years, a direct method known as the new auxiliary method has been shown to solve non-linear partial differential equations effectively where this method can give more exact solutions compared to the traditional direct methods.
Muhammad Asim Khan +2 more
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Using a New Auxiliary Equation to Construct Abundant Solutions for Nonlinear Evolution Equations
Journal of Applied Mathematics and Physics, 2021 In this paper, a new auxiliary equation method is proposed. Combined with the mapping method, abundant periodic wave solutions for generalized Klein-Gordon equation and Benjamin equation are obtained.
Yifan Liu, Guo-Ching Wu
semanticscholar +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 +18 more
core +1 more source
, 2021 In this article we discussed the analytical analysis of perturbed nonlinear fractional Schr$\ddot{o}$dinger equation with the help of our new introduced technique extended modified auxiliary equation mapping method(EMAEMM).
A. Seadawy
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Transport through a correlated interface: Auxiliary master equation approach [PDF]
Physical Review B, 2015 10 pages 9 ...
Titvinidze, Irakli +3 more
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Chirped solitons in negative index materials generated by Kerr nonlinearity
Results in Physics, 2020 In this paper, we are concerned with chirped solitary wave solutions in negative indexed materials having Kerr nonlinearity and self-phase modulation term. An auxiliary equation method together with an ansatz technique are employed.
A. Houwe +4 more
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