Fractal Solitons, Arbitrary Function Solutions, Exact Periodic Wave and Breathers for a Nonlinear Partial Differential Equation by Using Bilinear Neural Network Method-Reference-Cited by-同舟云学术

Fractal Solitons, Arbitrary Function Solutions, Exact Periodic Wave and Breathers for a Nonlinear Partial Differential Equation by Using Bilinear Neural Network Method

Published:2020-11-07 Issue:1 Volume:34 Page:122-139
ISSN:1009-6124
Container-title:Journal of Systems Science and Complexity
language:en
Short-container-title:J Syst Sci Complex

Author:

Zhang Runfa,Bilige Sudao,Chaolu Temuer

Publisher

Springer Science and Business Media LLC

Subject

Information Systems,Computer Science (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1007/s11424-020-9392-5.pdf

Reference38 articles.

1. Liu Y P, Liao S J, and Li Z B, Symbolic computation of strongly nonlinear periodic oscillations, Journal of Symbolic Computation, 2013, 55: 72–95.

2. Feng R Y and Gao X S, Rational general solutions of algebraic ordinary differential equations, Proceedings of the 2004 International Symposium on Symbolic and Algebraic Computation (ISSAC’04), Ed. by Gutierrez J, ACM Press, New York, 2004, 155–162.

3. Feng R Y and Gao X S, A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs, Journal of Symbolic Computation, 2006, 41: 739–762.

4. Feng R Y, Gao X S, and Huang Z Y, Rational solutions of ordinary difference equations, Journal of Symbolic Computation, 2008, 43: 746–763.

5. Franz W, The algebro-geometric method for solving algebraic differential equations — A survey, Journal of Systems Science & Complexity, 2019, 32(1): 256–270.

Cited by 126 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. Dynamical behaviors of various multi-solutions to the (2+1)-dimensional Ito equation;Journal of Mathematical Analysis and Applications;2024-10

2. M-shaped rational, homoclinic breather, kink-cross rational, multi-wave and interactional soliton solutions to the fifth-order Sawada-Kotera equation;Partial Differential Equations in Applied Mathematics;2024-09

3. A machine learning framework for efficiently solving Fokker–Planck equations;Computational and Applied Mathematics;2024-09

4. Dynamics of Bifurcation, Chaos, Sensitivity and Diverse Soliton Solution to the Drinfeld-Sokolov-Wilson Equations Arise in Mathematical Physics;International Journal of Theoretical Physics;2024-08-29

5. Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schördinger equation;PLOS ONE;2024-08-28