Perturbations of differential equations retaining conserved quantities

DOI10.1134/s1995080223090366OpenAlexW4389576618MaRDI QIDQ6180978

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Publication date: 22 January 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223090366

zbMATH Keywords

conservation lawstraveling wavesperturbed equationsselective decay

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Magnetohydrodynamics and electrohydrodynamics (76W05) Perturbations in context of PDEs (35B20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Traveling wave solutions (35C07) Soliton solutions (35C08)

Cites Work

• The KdV soliton crosses a dissipative and dispersive border
• Taylor trick and travelling wave solutions
• Balance laws and centro velocity in dissipative systems

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