Spectral stability of constrained solitary waves for the generalized singular perturbed KdV equation

DOI10.1007/s12220-024-01757-9zbMath1547.35549MaRDI QIDQ6611177

Fangyu Han, Yuetian Gao

Publication date: 26 September 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

spectral stabilityconstrained solitary wavesingular perturbed KdV equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Gas dynamics (general theory) (76N15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Existence of solutions for minimax problems (49J35) Free boundary problems for PDEs (35R35) Singularity in context of PDEs (35A21) Variational methods for higher-order elliptic equations (35J35) Soliton solutions (35C08) PDEs on manifolds (35R01) Waves in compressible fluids (76N30)

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