Nonlinear differential equations as invariants under group action on coset bundles: Burgers and Korteweg-de Vries equation families-Reference-Cited by-同舟云学术

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Nonlinear differential equations as invariants under group action on coset bundles: Burgers and Korteweg-de Vries equation families

Published:1986-03 Issue:2 Volume:114 Page:340-359
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Wolf Kurt Bernardo,Hlavatý Ladislav,Steinberg Stanly

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference15 articles.

1. A mathematical model illustrating the theory of turbulence;Burgers;Adv. in Appl. Mech.,1948

2. Linear and Nonlinear Waves;Whittham,1974

3. Similarity methods for differential equations;Bluman;Appl. Math. Sci.,1974

4. G. W. Bluman, private communication.

5. Theory of Group Representations and Applications;Barut,1977

Cited by 8 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. Rational Solutions to the Burgers' Equation From Particular Polynomials;WSEAS TRANSACTIONS ON MATHEMATICS;2023-11-15

2. A Comparative Study of the Explicit Finite Difference Method and Physics-Informed Neural Networks for Solving the Burgers’ Equation;Axioms;2023-10-18

3. 2N Parameter Solutions to the Burgers' Equation;Journal of Applied Nonlinear Dynamics;2022-04-01

4. A systematic literature review of Burgers’ equation with recent advances;Pramana;2018-04-30

5. Contemporary review of techniques for the solution of nonlinear Burgers equation;Journal of Computational Science;2012-09

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