Modeling wave propagation with gravity and surface tension: soliton solutions for the generalized Hietarinta-type equation

DOI10.1007/s12346-023-00945-2OpenAlexW4390733996MaRDI QIDQ6198608

Mostafa M. A. Khater

Publication date: 23 February 2024

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-023-00945-2

zbMATH Keywords

soliton solutionsgravity and surface tensiongeneralized Hietarinta-type equationcomputational and numerical techniques

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51) Soliton solutions (35C08)

Cites Work

• Lump solutions to a generalized Hietarinta-type equation via symbolic computation
• Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
• A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach
• Fermi-Pasta-Ulam-Tsingou recurrence in two-core optical fibers
• Nonparaxial pulse propagation in a planar waveguide with Kerr-like and quintic nonlinearities; computational simulations
• Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota's bilinear method
• Advancements in computational techniques for precise solitary wave solutions in the (1+1)-dimensional Mikhailov-Novikov-Wang equation
• Soliton propagation under diffusive and nonlinear effects in physical systems; \((1+1)\)-dimensional \(\mathbb{MNW}\) integrable equation