Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay (Q2229374)
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| English | Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay |
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Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay (English)
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23 February 2021
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By using the geometric singular perturbation theory, the authors prove the existence of solitary wave solutions for the Degasperis-Procesi equation with distributed delay. The main idea is to transform the Degasperis-Procesi equation to a slow-fast system and then prove this system possesses a homoclinic orbit which corresponds to a solitary wave solution of the original equation.
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Degasperis-Procesi equation
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solitary wave solutions
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geometric singular perturbation theory
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invariant manifold
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homoclinic orbits
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