On the existence of superposed and superposed-type real and complex elliptic periodic waves of KdV equation

DOI10.1007/S10773-024-05651-6zbMATH Open1543.352MaRDI QIDQ6571231

Prakash Kumar Das

Publication date: 11 July 2024

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

KdV equationsplitting techniquemodified KdV equationJacobi elliptic function solutiongeneralized Miura transformationsuperposed and superposed-type solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Hydro- and aero-acoustics (76Q05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Elliptic functions and integrals (33E05)

Cites Work

• Application of Exp-function method to a KdV equation with variable coefficients
• On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.
• Multiple complex soliton solutions for integrable negative-order KdV and integrable negative-order modified KdV equations
• Novel PT-invariant solutions for a large number of real nonlinear equations
• Piecewise smooth localized solutions of Liénard‐type equations with application to NLSE
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations
• Superposition of elliptic functions as solutions for a large number of nonlinear equations
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
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Related Items (1)

Superposed and superposed-type double periodic Jacobi elliptic function solutions of variable coefficients KdV equation

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