具有恒定涡度的小振幅水弹性孤波与广义孤波——献给陈化教授 70 寿辰

Abstract

Abstract:

In this paper, we prove the existence of two-dimensional hydroelastic solitary waves with constant vorticity by using spatial dynamics method. The flow beneath the wave is of finite depth, and critical layers are absent throughout the flow. The problem is converted to an equivalent dynamical system in which the horizontal spatial direction is the time like variable. Then application of a center-manifold reduction technique and normal-form theory yields the existence of homoclinic solutions to the reduced system, which correspond to solitary or generalized solitary waves of the hydroelastic problem.

Key words: hydroelastic solitary waves, constant vorticity, spatial dynamics

CLC Number:

O175.29

Lingjun Wang. Hydroelastic Small-Amplitude Solitary and Generalized Solitary Waves with Constant Vorticity[J].Acta mathematica scientia,Series A, 2026, 46(2): 628-645.

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Hydroelastic Small-Amplitude Solitary and Generalized Solitary Waves with Constant Vorticity

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