2 examples to get exact analitical solution of CDGKS-like equation
神经网络求解偏微分方程解析解的方法:
Neural network method for solving analytical solution:
[1]R. F. Zhang, M. C. Li, Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations. Nonlinear Dyn.2022.https://doi.org/10.1007/s11071-022-07207-x
[2]R. F. Zhang, M. C. Li, M. Albishari, F. C. Zheng, Z. Z. Lan, "[Generalized lump solutions, classical lump solutions and rogue waves of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation](https://doi.org/10.1016/j.amc.2021.126201)", Appl. Math. Comput. 403 (2021) 126201
[3]R. F. Zhang, M. C. Li, H. M. Yin, "[Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation](https://doi.org/10.1007/s11071-020-06112-5)",Nonlinear Dyn. 103 (2021) 1071–1079.
[4]R. F. Zhang, S. D. Bilige, "[Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p–gBKP equatuon](https://doi.org/10.1007/s11071-018-04739-z)", Nonlinear Dyn. 95 (2019) 3041–3048.
@article{ZRF2022ND,
author = {Run-Fa Zhang and Ming-Chu Li},
title = {Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations},
journal = {Nonlinear Dyn.},
volume = {},
pages = {},
year = {2022},
#doi = {https://doi.org/10.1007/s11071-022-07207-x},
}
@Article{ZRF2021AMC,
author = {Run Fa Zhang and Ming Chu Li and Mohammed Albishari and Fu Chang Zheng and Zhong Zhou Lan},
title = {{Generalized lump solutions, classical lump solutions and rogue waves of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation}},
journal = {Appl. Math. Comput.},
year = {2021},
volume={403},
pages={126201}
#doi = {https://doi.org/10.1016/j.amc.2021.126201}
}
@Article{ZRF2021ND,
author = {Run Fa Zhang and Ming Chu Li and Hui Min Yin},
title = {{Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation}},
journal = {Nonlinear Dyn.},
year = {2021},
volume={103},
pages={1071–1079}
#doi = {https://doi.org/10.1007/s11071-020-06112-5}
}
@Article{ZRF2019ND,
author = {Run Fa Zhang and Su Dao Bilige},
title = {Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p–g{BKP} equatuon},
journal = {Nonlinear Dyn.},
year = {2019},
volume = {95},
pages = {3041–3048},
#doi = {https://doi.org/10.1007/s11071-018-04739-z},
}