Multiparametric solutions to the Gardner equation and the degenerate rational case

DOI10.11948/20200332MaRDI QIDQ6598978

Pierre Gaillard

Publication date: 5 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

rational solutionsWronskiansGardner equation

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations of mathematical physics and other areas of application (35Qxx) Representations of solutions to partial differential equations (35Cxx) Partial differential equations (35-XX) Waves in solid mechanics (74Jxx)

Cites Work

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• Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices
• New solitary wave solution of the combined KdV and mKdV equation
• Wave Propagation in Nonlinear Lattice. II
• On Series Expansions Giving Closed-Form Solutions of Korteweg–de Vries-Like Equations
• Solitary wave solutions and cnoidal wave solutions to the combined KdV and mKdV equation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• LONG NONLINEAR INTERNAL WAVES
• Wave group dynamics in weakly nonlinear long-wave models

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