نتایج جستجو برای: sawada kotera equation

تعداد نتایج: 229936  

Journal: :Communications in Nonlinear Science and Numerical Simulation 2021

A new transformation v=4(lnf)xx that can formulate a quintic linear equation and pair of Hirota’s bilinear equations for the (2 + 1)-dimensional Sawada–Kotera (2DSK) Eq. (1) or u=4(lnf)x 2DSK (2) is reported firstly, which enables one to obtain set multiple soliton solutions equation. They are not special cases known solitons. The results presented in this paper show only possesses two sets sol...

Journal: :Universe 2022

The main purpose of this research is to propose a new methodology observe class time-fractional generalized fifth-order Korteweg–de Vries equations. Laplace transform along with homotopy perturbation algorithm utilized for the solution and analysis in current study. This extended technique provides improved convergent series solutions through symbolic computation. proposed applied Sawada–Kotera...

Journal: :Symmetry 2023

This study investigates the wave solutions of time-fractional Sawada–Kotera–Ito equation (SKIE) that arise in shallow water and many other fluid mediums by utilizing some most flexible high-precision methods. The SKIE is a nonlinear integrable partial differential (PDE) with significant applications dynamics mechanics. However, traditional numerical methods used for analyzing this are often pla...

2014
Shaoyong Lai

which has a matrix Lax pair [, ] and is shown to be related to a negative flow in the Sawada-Kotera hierarchy. Several conservation quantities and a bi-Hamiltonian structure were found in []. Himonas and Holliman [] applied the Galerkin-type approximation method to prove the well-posedness of strong solutions for Eq. () in the Sobolev space Hs(R) with s >  on both the line and the circle....

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