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Korteweg-de Vries Equation (KdV), Some Numerical Methods for Solving the
, 2011 openaire +2 more sources
Korteweg-de Vries Equation (KdV), Different Analytical Methods for Solving the
, 2011 openaire +2 more sources
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Physics Letters A, 1974
Abstract The non-linear Miura transformation, which converts the N -soliton solution of the modified KdV equation into an N -soliton solution for the KdV equation itself, is related to an unitary transformation of the operators associated with these equations.
T.L. Perelman +2 more
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Abstract The non-linear Miura transformation, which converts the N -soliton solution of the modified KdV equation into an N -soliton solution for the KdV equation itself, is related to an unitary transformation of the operators associated with these equations.
T.L. Perelman +2 more
openaire +1 more source
Applied Mechanics and Materials, 2012
It is difficult to obtain exact solutions of the nonlinear partial differential equations (PDEs) due to the complexity and nonlinearity, especially for non-integrable systems. In this case, some reasonable approximations of real physics are considered, by means of the standard truncated expansion approach to solve real nonlinear system is proposed.
Jiang Long Wu, Wei Rong Yang
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It is difficult to obtain exact solutions of the nonlinear partial differential equations (PDEs) due to the complexity and nonlinearity, especially for non-integrable systems. In this case, some reasonable approximations of real physics are considered, by means of the standard truncated expansion approach to solve real nonlinear system is proposed.
Jiang Long Wu, Wei Rong Yang
openaire +1 more source
Korteweg-de Vries Equation (KdV), History, Exact N-Soliton Solutions and Further Properties of the
, 2011 openaire +2 more sources
The European Physical Journal B, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei, Guang-Mei +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei, Guang-Mei +3 more
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2019
Some recent results concerning nonlinear non-Abelian KdV and mKdV equations are presented. Operator equations are studied in references [2]-[7] where structural properties of KdV type equations are investigated. Now, in particular, on the basis of results, the special finite dimensional case of matrix soliton equations is addressed to: solutions of ...
Sandra Carillo +2 more
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Some recent results concerning nonlinear non-Abelian KdV and mKdV equations are presented. Operator equations are studied in references [2]-[7] where structural properties of KdV type equations are investigated. Now, in particular, on the basis of results, the special finite dimensional case of matrix soliton equations is addressed to: solutions of ...
Sandra Carillo +2 more
openaire +1 more source
Solving integral equations in free space with inverse-designed ultrathin optical metagratings
Nature Nanotechnology, 2023Andrea Cordaro, Andrea Alu
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DeepXDE: A Deep Learning Library for Solving Differential Equations
SIAM Review, 2021Lu Lu, George E Karniadakis
exaly