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A method for constructing exact solutions of nonlinear delay PDEs - MaRDI portal

A method for constructing exact solutions of nonlinear delay PDEs (Q2227579)

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A method for constructing exact solutions of nonlinear delay PDEs
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    A method for constructing exact solutions of nonlinear delay PDEs (English)
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    15 February 2021
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    A method for constructing exact solutions of nonlinear delay PDEs using special solutions of simpler auxiliary PDEs without delay is given. The application of the method is demonstrated on nonlinear reaction-diffusion and wave-type equations with delay that include variable coefficients and arbitrary functions. New generalized traveling-wave solutions and functional separable solutions in the implicit form are obtained.
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    nonlinear delay PDEs
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    reaction-diffusion equations
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    wave-type equations
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    exact solutions
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    generalized traveling-wave solutions
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    functional separable solutions
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