Bright solitons of the variants of the Novikov-Veselov equation with constant and variable coefficients

B. Boubir; H. Triki; A.M. Wazwaz

首页> 外文期刊>Applied Mathematical Modelling >Bright solitons of the variants of the Novikov-Veselov equation with constant and variable coefficients

【24h】

Bright solitons of the variants of the Novikov-Veselov equation with constant and variable coefficients

机译：常数和可变系数的Novikov-Veselov方程变体的明亮孤子

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, the existence of the bright soliton solution of four variants of the Novikov-Veselov equation with constant and time varying coefficients will be studied. We analyze the solitary wave solutions of the Novikov-Veselov equation in the cases of constant coefficients, time-dependent coefficients and damping term, generalized form, and in 1 + N dimensions with variable coefficients and forcing term. We use the solitary wave ansatz method to derive these solutions. The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Parametric conditions for the existence of the exact solutions are given. The solitary wave ansatz method presents a wider applicability for handling nonlinear wave equations.

机译：在本文中，将研究具有常数和时变系数的Novikov-Veselov方程的四个变体的亮孤子解的存在性。在常数系数，时变系数和阻尼项，广义形式以及具有可变系数和强迫项的1 + N维情况下，我们分析了Novikov-Veselov方程的孤波解。我们使用孤立波ansatz方法得出这些解。孤子解中的物理参数是依赖系数的函数。给出了存在精确解的参数条件。孤波ansatz方法在处理非线性波动方程方面具有更广泛的适用性。

著录项

来源
《Applied Mathematical Modelling》 |2013年第2期|420-431|共12页
作者
B. Boubir; H. Triki; A.M. Wazwaz;
展开▼
作者单位

Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000 Annaba, Algeria;

Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000 Annaba, Algeria;

Department of Mathematics, Saint Xavier University, Chicago, IL 60655, United States;

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
novikov-veselov equation; bright solitons; wave ansatz;

机译：novikov-veselov方程;明亮的孤子;波安萨茨;

相似文献

外文文献
中文文献
专利

1. Bright - dark optical solitons for Schrodinger-Hirota equation with variable coefficients [J] . Kaur Lakhveer, Wazwaz Abdul-Majid Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2019,第期

机译：具有变系数的Schrodinger-Hirota方程的明亮 - 暗光学孤子
2. Bright - dark optical solitons for Schrodinger-Hirota equation with variable coefficients [J] . Kaur Lakhveer, Wazwaz Abdul-Majid Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2019,第期

机译：具有变系数的Schrodinger-Hirota方程的明亮 - 暗光学孤子
3. Bright and dark solitons for a variable-coefficient (2 + 1) dimensional Heisenberg ferromagnetic spin chain equation [J] . Huang Qian-Min, Gao Yi-Tian, Jia Shu-Liang Optical and quantum electronics . 2018,第4期

机译：变系数（2 +1）维Heisenberg铁磁自旋链方程的明暗孤子
4. Stimulated fission of high-order optical breather via pairwise interaction of solitons in model of nonlinear Schr?dinger equation with variable coefficients [C] . A.I. Konyukhov, P.A. Mavrin, E.V. Schurkin, SPIE Conference on Laser Physics and Photonics . 2018

机译：通过可变系数的非线性SCHR模型中孤子的成对相互作用刺激了高阶光学通气的裂变
5. Essays on Nonparametric Identification: Identification of Dependent Multidimensional Unobserved Variables in a System of Linear Equations Identification and Estimation for Regressions with Errors in All Variables Identification of Nonparametrically Distributed Random Coefficients in Linear Panel Data Models. [D] . Ben-Moshe, Dan. 2012

机译：关于非参数识别的论文：线性方程组中相关多维多维观测变量的识别以及线性面板数据模型中非参数分布随机系数的所有变量中所有变量均具有误差的回归估计。
6. Gramian solutions and soliton interactions for a generalized (3 + 1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in a plasma or fluid [O] . Su-Su Chen, Bo Tian -1

机译：克拉柳液和孤子相互作用在等离子体或流体中的一致（3 + 1） - 二维变量系数Kadomtsev-Petviashvili方程
7. Bright solitons of the variants of the Novikov–Veselov equation with constant and variable coefficients [O] . Boubir B., Triki H., Wazwaz A.M. 2013

机译：具有常数和可变系数的Novikov-Veselov方程变体的明亮孤子

Bright solitons of the variants of the Novikov-Veselov equation with constant and variable coefficients

摘要

著录项

相似文献

相关主题

期刊订阅