Repeated application of the recursion operator for a new hierarchy of negative-order integrable KdV equations

DOI10.1080/17455030.2018.1506595zbMath1504.35457OpenAlexW2886460557MaRDI QIDQ5104304

Abdul-Majid Wazwaz

Publication date: 9 September 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2018.1506595

zbMATH Keywords

dispersion relationcomplete integrabilitymultiple soliton solutionsinverse recursion operatorinfinite geometric series

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Cites Work

• Unnamed Item
• Multiple soliton solutions for a \((2 + 1)\)-dimensional integrable KdV6 equation
• Soliton scattering with amplitude changes of a negative order AKNS equation
• Partial differential equations and solitary waves theory
• Negative-order KdV and negative-order KP equations: multiple soliton solutions
• Integrable systems and their recursion operators.
• Localized analytical solutions and numerically stabilities of generalized Gross-Pitaevskii (\(\mathrm{GP}(p,q)\)) equation with specific external potentials
• Nonautonomous rogue waves and `catch' dynamics for the combined Hirota-LPD equation with variable coefficients
• Exact solutions for a class of nonlinear evolution equations: A unified ansätze approach
• New `ansatz' for obtaining wave solutions of the generalized Camassa-Holm equation
• Negative powers of Olver recursion operators
• A symbolic algorithm for computing recursion operators of nonlinear partial differential equations
• The Painlevé property for partial differential equations
• Symmetries and Integrability
• Evolution equations possessing infinitely many symmetries
• Dynamics of nonautonomous discrete rogue wave solutions for an Ablowitz-Musslimani equation with PT-symmetric potential
• Nonlinear evolution-type equations and their exact solutions using inverse variational methods
• The generalized KaupߝBoussinesq equation: multiple soliton solutions
• Two forms of (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation: multiple soliton solutions
• A new integrable equation combining the modified KdV equation with the negative-order modified KdV equation: multiple soliton solutions and a variety of solitonic solutions
• Negative-order KdV equations in (3+1) dimensions by using the KdV recursion operator

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