Bilinear representation, bilinear Bäcklund transformation, Lax pair and analytical solutions for the fourth-order potential Ito equation describing water waves via Bell polynomials

DOI10.1016/j.jmaa.2023.127695zbMath1526.35105OpenAlexW4386034449MaRDI QIDQ6063643

No author found.

Publication date: 8 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127695

zbMATH Keywords

Bell polynomialsLax pairbilinear Bäcklund transformationthree wave methodfourth-order nonlinear potential Ito equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05)

Related Items (1)

Nonlocal residual symmetries, N-th Bäcklund transformations and exact interaction solutions for a generalized Broer-Kaup-Kupershmidt system

Cites Work

• On a direct procedure for the disclosure of Lax pairs and Bäcklund transformations
• Lax pair, Bäcklund transformation and conservation laws for the \((2 + 1)\)-dimensional extended shallow water wave equation
• Exponential polynomials
• Integrability and exact solutions of the (2+1)-dimensional KdV equation with Bell polynomials approach
• Novel approximations to a nonplanar nonlinear Schrödinger equation and modeling nonplanar rogue waves/breathers in a complex plasma
• A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws
• Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations
• Darboux transformation of the variable coefficient nonlocal equation
• Bäcklund transformations, Lax system, conservation laws and multisoliton solutions for Jimbo-Miwa equation with Bell-polynomials
• New exact solutions for the \((2+1)\)-dimensional Sawada-Kotera equation
• On the combinatorics of the HirotaD-operators
• Optical soliton solutions for the generalized Kudryashov equation of propagation pulse in optical fiber with power nonlinearities by three integration algorithms
• Localised Nonlinear Wave Interaction in the Generalised Kadomtsev-Petviashvili Equation
• New various multisoliton kink‐type solutions of the (1 + 1)‐dimensional Mikhailov–Novikov–Wang equation

This page was built for publication: Bilinear representation, bilinear Bäcklund transformation, Lax pair and analytical solutions for the fourth-order potential Ito equation describing water waves via Bell polynomials