Separation of variables in PDEs using nonlinear transformations: Applications to reaction–diffusion type equations
Author:
Funder
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research
Publisher
Elsevier BV
Subject
Applied Mathematics
Reference26 articles.
1. A family of nonlinear Klein–Gordon equations and their solutions;Grundland;J. Math. Phys.,1992
2. Separation of variables in the non-linear wave equation;Zhdanov;J. Phys. A,1994
3. Separation of variables for the 1-dimensional non-linear diffusion equation;Doyle;Int. J. Non-Linear Mech.,1998
4. Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source;Qu;Phys. D: Nonlinear Phenom.,2000
5. Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics;Galaktionov,2007
Cited by 22 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. Unsteady Magnetohydrodynamics PDE of Monge–Ampère Type: Symmetries, Closed-Form Solutions, and Reductions;Mathematics;2024-07-06
2. Exact Solutions with Generalized Separation of Variables of the Nonlinear Heat Equation with a Source;Ukrainian Mathematical Journal;2024-07
3. Точні розв'язки з узагальненим відокремленням змінних рівняння нелінійної теплопровідності з джерелом;Ukrains’kyi Matematychnyi Zhurnal;2024-02-28
4. Method of separation of variables and exact solution of time fractional nonlinear partial differential and differential-difference equations;Fractional Calculus and Applied Analysis;2023-09-25
5. On soliton solutions, periodic wave solutions and asymptotic analysis to the nonlinear evolution equations in (2+1) and (3+1) dimensions;Heliyon;2023-05
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