Results 1 to 10 of about 53,167 (307)

On a Nonlinear Degenerate Evolution Equation with Nonlinear Boundary Damping [PDF]

Journal of Applied Mathematics, 2015
This paper deals essentially with a nonlinear degenerate evolution equation of the form Ku″-Δu+∑j=1nbj∂u′/∂xj+uσu=0 supplemented with nonlinear boundary conditions of Neumann type given by ∂u/∂ν+h·, u′=0.
A. T. Lourêdo, G. Siracusa, C. A. Silva Filho   +2 more
doaj   +5 more sources

Analytical and numerical solutions with bifurcation analysis for the nonlinear evolution equation in (2+1)-dimensions

Results in Physics, 2023
This paper is focused on the nonlinear evolution equation in (2+1)-dimensions which is found in different engineering and scientific areas. Many sets of exact soliton solutions of the nonlinear evolution equation in (2+1)-dimensions are presented via two
Khalid K. Ali, M.S. Mehanna, M.A. Shaalan, Kottakkaran Sooppy Nisar, Wedad Albalawi, Abdel-Haleem Abdel-Aty   +5 more
doaj   +3 more sources

Randomness and Nonlinear Evolution Equations [PDF]

Acta Mathematica Sinica, English Series, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nahmod, Andrea, Staffilani, Gigliola
openaire   +4 more sources

Construction of Infinite Series Exact Solitary Wave Solution of the KPI Equation via an Auxiliary Equation Method

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
doaj   +1 more source

Minimax Control of Nonlinear Evolution Equations [PDF]

Journal of Mathematical Analysis and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nikolaos S. Papageorgiou, Nikolaos Yannakakis   +1 more
openaire   +2 more sources

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
doaj   +1 more source

Explicit solutions of the fifth-order KdV type nonlinear evolution equation using the system technique

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
doaj   +1 more source

The Generalized Projective Riccati Equations Method for Solving Nonlinear Evolution Equations in Mathematical Physics

Abstract and Applied Analysis, 2014
We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation ...
E. M. E. Zayed, K. A. E. Alurrfi
doaj   +1 more source

Nonlinear Deterministic Equations in Biological Evolution [PDF]

Journal of Nonlinear Mathematical Physics, 2021
Invited review for J. Nonlin.
Jain, Kavita, Seetharaman, Sarada
openaire   +2 more sources

On differential equations invariant under a projective transformation group: integrability and reductions [PDF]

Open Communications in Nonlinear Mathematical Physics
We consider a projective transformation and establish the invariants for this transformation group up to order seven. We use the obtained invariants to construct a class of nonlinear evolution equations and identify some symmetry-integrable equations in ...
Marianna Euler, Norbert Euler, Francesco Oliveri   +2 more
doaj   +1 more source