Bilinear Transformation & 5 examples to get analitical solution of gBS 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, J.Y. Gan, Q. Li, Z.Z. Lan, "[Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method](https://doi.org/10.1016/j.chaos.2021.111692), Chaos, Solitons & Fractals 154 (2022) CSF"
[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{ZRF2022CSF,
author = {Run-Fa Zhang and Ming-Chu Li and Jian-Yuan Gan and Qing Li and Zhong-Zhou Lan},
title = {Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method},
journal = {Chaos, Solitons & Fractals},
volume = {154},
pages = {111692},
year = {2022},
#doi = {https://doi.org/10.1016/j.chaos.2021.111692},
}
@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},
}