Asymptotic solutions of soliton type of the Korteweg–de Vries equation with variable coefficients and singular perturbation-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Asymptotic solutions of soliton type of the Korteweg–de Vries equation with variable coefficients and singular perturbation

Published:2019-12-05 Issue:2 Volume:6 Page:374-385
ISSN:2312-9794
Container-title:Mathematical Modeling and Computing
language:
Short-container-title:Math. Model. Comput.

Author:

Samoilenko V. H., ,Samoilenko Yu. I.,Limarchenko V. O.,Vovk V. S.,Zaitseva K. S., , , ,

Publisher

Lviv Polytechnic National University

Subject

Computational Theory and Mathematics,Computational Mathematics

Reference17 articles.

1. Korteweg D. J., de Vries G. On the change in form of long waves advancing in a rectangular canal and a new type of long stationary waves. Philos. Mag. 39, 422--443 (1895).

2. Russell J. Scott. Report on waves. Reports Fourteenth Meeting of the British Association. 311--390 (1844).

3. Zabusky N. J., Kruskal M. D. Interaction of solitons in a collisionless plasma and recurrence of initial states. Phys. Rev. Lett. 15 (6), 240--243 (1965).

4. Kadomtsev B. B. Cooperative effects in plasmas. In Book: Reviews of plasma physics. Kluwer Academic, Springer. 22, 1--226 (2001).

5. Toda M. Theory of nonlinear lattices. Solid State Sciences. Vol. 20. New York, Springer--Verlag (1981).

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Asymptotic step-like solutions of the singularly perturbed Burgers equation;Physics of Fluids;2023-06-01

2. Asymptotic stepwise solutions of the Korteweg--de Vries equation with a singular perturbation and their accuracy;Mathematical Modeling and Computing;2021

3. Asymptotic analysis of the Korteweg-de Vries equation by the nonlinear WKB technique;Mathematical Modeling and Computing;2021

4. Stepwise Asymptotic Solutions to the Korteweg–De Vries Equation with Variable Coefficients and a Small Parameter at the Higher-Order Derivative;Cybernetics and Systems Analysis;2020-11

5. ASYMPTOTIC SOLUTIONS TO THE KORTEWEG-DE VRIES EQUATION WITH VARIABLE COEFFICICNTES AT NON-ZERO BACKGROUND;BULLETIN TARAS SHEVCHENKO NATIONAL UNIVERSITY OF KYIV. Mathematics. Mechanics;2019

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3