Results 11 to 20 of about 987,859 (318)

SOLITARY AND LUMP WAVES INTERACTION IN VARIABLE-COEFFICIENT NONLINEAR EVOLUTION EQUATION BY A MODIFIED ANSÄTZ WITH VARIABLE COEFFICIENTS

The Journal of Applied Analysis and Computation, 2020
In this work, we examine variable-coefficient nonlinear evolution equations that often describe complex physical models more than constant coefficient models.
Jianguo Liu, A. Wazwaz, Wen-Hui Zhu
semanticscholar   +1 more source

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

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

Geometric scaling as traveling waves [PDF]

, 2003
We show the relevance of the nonlinear Fisher and Kolmogorov-Petrovsky- Piscounov (KPP) equation to the problem of high energy evolution of the QCD amplitudes. We explain how the traveling wave solutions of this equation are related to geometric scaling,
A. Kolmogorov, A. H. Mueller, B. Derrida, E. A. Kuraev, I. I. Balitskii, L. N. Lipatov, M. Bramson, N. N. Nikolaev, R. Peschanski, R. A. Fisher, S. Munier   +10 more
core   +1 more source

Numerical study on the generation and evolution of the super-rogue waves

Journal of Ocean Engineering and Science, 2016
The super-rogue wave solutions of the nonlinear Schrödinger equation (NLS) are numerically studied based on the weakly nonlinear hydrodynamic equation. The super-rogue wave solutions up to the 5th order, also known as the so-called super-rogue waves, are
Jianmin Yang, Wenyue Lu
doaj   +1 more source

The Improved exp⁡-Φξ-Expansion Method and New Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics

Advances in Mathematical Physics, 2019
The exp(-Φ(ξ))-expansion method is improved by presenting a new auxiliary ordinary differential equation for Φ(ξ). By using this method, new exact traveling wave solutions of two important nonlinear evolution equations, i.e., the ill-posed Boussinesq ...
Guiying Chen, Xiangpeng Xin, Hanze Liu
doaj   +1 more source

The Simplest Equation Method and Its Application for Solving the Nonlinear NLSE, KGZ, GDS, DS, and GZ Equations

Journal of Applied Mathematics, 2013
A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method ...
Yun-Mei Zhao, Ying-Hui He, Yao Long
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

Soliton equations: admitted solutions and invariances via B\"acklund transformations [PDF]

Open Communications in Nonlinear Mathematical Physics
A couple of applications of B\"acklund transformations in the study of nonlinear evolution equations is here given. Specifically, we are concerned about third order nonlinear evolution equations.
Sandra Carillo, Cornelia Schiebold
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.
Papageorgiou, Nikolaos S., Yannakakis, Nikolaos   +1 more
openaire   +2 more sources