Results 21 to 30 of about 340,065 (284)
Investigation into O(N) Invariant Scalar Model Using Auxiliary-Mass Method at Finite Temperature [PDF]
, 1998 Using auxiliary-mass method, O(N) invariant scalar model is investigated at finite temperature. This mass and an evolution equation allow us to calculate an effective potential without an infrared divergence. Second order phase transition is indicated by
G. Amelino-Camelia +19 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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Results in Physics, 2018 In this research, we investigate one of the most popular model in nature and also industrial which is the pressure equation of bubbly liquids with examination for viscosity and heat transfer which has many application in nature and engineering ...
Mostafa M.A. Khater +2 more
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Travelling waves solutions of the KP equation in weakly dispersive media
Open Physics, 2022 The current work focuses on the solutions of the Kadomtsev and Petviashvili (KP) equation, which models nonlinear waves in a dispersive medium. The modified auxiliary equation approach is utilized to find analytical solutions of the KP equation ...
Althobaiti Ali
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ITM Web of Conferences, 2018 In this paper, we presented a new expansion method constructed by taking inspiration for the Kudryashov method. Bernoulli equation is chosen in the form of F′=BFn-AF and some expansions are made on the auxiliary Bernoulli equation which is used in this ...
DURAN Serbay, KAYA Doǧan
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New exact solutions for Kudryashov–Sinelshchikov equation
Advances in Difference Equations, 2018 In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G $\frac{G'}{G}$-polynomial expansion method to the Riccati equation.
Junliang Lu
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Partial differential systems with nonlocal nonlinearities: Generation and solutions [PDF]
, 2018 We develop a method for generating solutions to large classes of evolutionary partial differential systems with nonlocal nonlinearities. For arbitrary initial data, the solutions are generated from the corresponding linearized equations.
Beck, Margaret +3 more
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Mathematics, 2023 The KPI equation is one of most well-known nonlinear evolution equations, which was first used to described two-dimensional shallow water wavs. Recently, it has found important applications in fluid mechanics, plasma ion acoustic waves, nonlinear optics,
Feiyun Pei, Guojiang Wu, Yong Guo
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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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Advances in Mathematical Physics, 2020 With the help of Maple, the precise traveling wave solutions of three fractal-order model equations related to water waves, including hyperbolic solutions, trigonometric solutions, and rational solutions, are obtained by using function expansion method ...
Kai Fan, Cunlong Zhou
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