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Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations
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Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations
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Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations
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Journal Article
Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations
2022
Overview
In this work, bilinear residual network method is proposed to solve nonlinear evolution equations. The activation function in final layer of deep neural network cannot interact with the neuron inside the deep neural network, but the residual network can transfer the input layer to the activation function in final layer to realize the interaction within the network. This reduces the complexity of the model and gives more interactive results. The steps of solving the exact analytical solution through the residual network are given. The rogue wave solution of Caudrey–Dodd–Gibbon–Kotera–Sawada-like equation is obtained by using the bilinear residual network method. Characteristic plots and dynamic analysis of these rogue waves are given.
Publisher
Springer Netherlands,Springer Nature B.V
