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Stochastic models associated to a Nonlocal Porous Medium Equation [PDF]
Modern Stochastics: Theory and Applications, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
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New (3+1)-dimensional nonlinear evolution equation: multiple soliton solutions
Open Engineering, 2014 In this work, we introduce an extended (3+1)-dimensional nonlinear evolution equation. We determine multiple soliton solutions by using the simplified Hirota’s method.
Wazwaz Abdul-Majid
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AIMS Mathematics, 2022 The formula of solution to a nonlinear ODE with an undetermined coefficient and a positive integer power term of dependent variable have been obtained by the transformation of dependent variable and $(\frac{{G'}}{G})$-expansion method.
Lingxiao Li +2 more
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AIMS Mathematics, 2021 The Variable-order fractional operators (VO-FO) have considered mathematically formalized recently. The opportunity of verbalizing evolutionary leading equations has led to the effective application to the modeling of composite physical problems ranging ...
Umair Ali +4 more
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Nonlinear dynamics, 2022 A the (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves is investigated with different methods. Based on symbolic computation and Hirota bilinear form, N soliton solutions are constructed.
Longting Li
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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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Solitary wave solutions of few nonlinear evolution equations
AIMS Mathematics, 2020 The solitary wave solutions of nonlinear evolution equations, in the recent years is being attractive in the field of physical sciences and engineering.
A. K. M. Kazi Sazzad Hossain +1 more
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Evolution of Water Wave Groups in the Forced Benney–Roskes System
Fluids, 2023 For weakly nonlinear waves in one space dimension, the nonlinear Schrödinger Equation is widely accepted as a canonical model for the evolution of wave groups described by modulation instability and its soliton and breather solutions.
Montri Maleewong, Roger H. J. Grimshaw
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Results in Physics, 2016 We consider the generalized fifth-order KdV type nonlinear evolution equation with variable coefficients. The system technique has been applied rigorously in order to find new exact solutions of the considered equations.
Hyunsoo Kim, Sunmi Lee
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Doubly nonlinear stochastic evolution equations II [PDF]
Stochastics and Partial Differential Equations: Analysis and Computations, 2022 27 ...
Scarpa L., Stefanelli U.
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