N-solitons, lump solution and interaction phenomenon to the Boussinesq equation
From MaRDI portal
Publication:5044131
DOI10.1080/00207160.2022.2041194OpenAlexW4211139624MaRDI QIDQ5044131
Jingjie Ma, Min-Jie Dong, Lixin Tian, Ru Guan, Wenxia Chen
Publication date: 24 October 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2022.2041194
PDEs in connection with fluid mechanics (35Q35) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Explicit solutions, first integrals of ordinary differential equations (34A05)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Bilinear form and new multi-soliton solutions of the classical Boussinesq-Burgers system
- Amplitude modulation of water waves governed by Boussinesq's equation
- Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves
- Construction of new exact rational form non-travelling wave solutions to the \((2+1)\)-dimensional generalized Broer-Kaup system
- Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation
- Solitons and infinite dimensional Lie algebras
- Characteristics and interactions of solitary and lump waves of a \((2+1)\)-dimensional coupled nonlinear partial differential equation
- A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation
- A second Wronskian formulation of the Boussinesq equation
- Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
- The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation
- An integrable lattice hierarchy based on suris system: \(N\)-fold Darboux transformation and conservation laws
- Residual symmetries, \(n\)th Bäcklund transformation and interaction solutions for (2+1)-dimensional generalized Broer-Kaup equations
- Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations
- Conservation laws by symmetries and adjoint symmetries
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems
- Consistent Riccati expansion and rational solutions of the Drinfel'd-Sokolov-Wilson equation
- Integrability aspects of some two-component KdV systems
- The wrinkle-like N-solitons for the thermophoretic motion equation through graphene sheets
- Rational solutions and their interaction solutions of the (2+1)-dimensional modified dispersive water wave equation
- Painlevé analysis, soliton molecule, and lump solution of the higher-order Boussinesq equation
- New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions
- Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation
- The \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation: nonlocal symmetries and interaction solutions
- New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations
- Two integrable lattice hierarchies and their respective Darboux transformations
- Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters
- An integrable coupling hierarchy of Dirac integrable hierarchy, its Liouville integrability and Darboux transformation
- Novel high‐order breathers and rogue waves in the Boussinesq equation via determinants
- Inverse scattering transforms and soliton solutions of nonlocal reverse‐space nonlinear Schrödinger hierarchies
- Integrable properties of the general coupled nonlinear Schrödinger equations
- A novel method for travelling wave solutions of fractional Whitham–Broer–Kaup, fractional modified Boussinesq and fractional approximate long wave equations in shallow water