Superposed and superposed-type double periodic Jacobi elliptic function solutions of variable coefficients KdV equation
DOI10.1007/S10773-024-05708-6zbMATH Open1545.35156MaRDI QIDQ6589178
Publication date: 19 August 2024
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
variable-coefficient KdV equationsplitting techniqueJacobi elliptic function solutiongeneralized Miura transformationsuperposed and superposed-type solutionsvariable-coefficient modified KdV equation
PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)
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