Results 51 to 60 of about 8,881 (223)

Conservation laws and normal forms of evolution equations

, 2010
We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws.
Abellanas, Abellanas, Abellanas, Abellanas, Artur Sergyeyev, Ashton, Bocharov, Bryant, Błaszak, Drinfel'd, Foltinek, Foltinek, Galindo, Ibragimov, Igonin, Kaptsov, Kunzinger, Magadeev, Mikhailov, Mikhailov, Mikhailov, Miura, Newell, Nikitin, Olver, Popovych, Popovych, Popovych, Popovych, Roman O. Popovych, Sanders, Sanders, Sanders, Sergyeyev, Shapovalov, Svinolupov   +35 more
core   +1 more source

Higher order terms in multiscale expansions: a linearized KdV hierarchy [PDF]

, 2001
We consider a wide class of model equations, able to describe wave propagation in dispersive nonlinear media. The Korteweg-de Vries (KdV) equation is derived in this general frame under some conditions, the physical meanings of which are clarified. It is
Leblond, H.
core   +4 more sources

Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation

Advances in Mathematical Physics, 2015
Based on some known loop algebras with finite dimensions, two different negative-order integrable couplings of the negative-order Korteweg-de Vries (KdV) hierarchy of evolution equations are generated by making use of the Tu scheme, from which the ...
Binlu Feng, Yufeng Zhang
doaj   +1 more source

Long-wavelength limit for the Green–Naghdi equations

Electronic Research Archive, 2022
This paper studies the long-wavelength limit for the one-dimensional Green–Naghdi (GN) equations, which are often used to describe the propagation of fully nonlinear waves in coastal oceanography. We prove that, under the long-wavelength, small-amplitude
Min Li
doaj   +1 more source

Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

, 2002
In a recent paper, Kenig, Ponce and Vega study the low regularity behavior of the focusing nonlinear Schr\"odinger (NLS), focusing modified Korteweg-de Vries (mKdV), and complex Korteweg-de Vries (KdV) equations.
Christ, Michael, Colliander, James, Tao, Terence   +2 more
core   +4 more sources

Ion temperature gradient mode linear and nonlinear structures in electron-ion plasma,with stationary charged dust grain

Kuwait Journal of Science, 2023
Ion temperature gradient mode nonlinear structures are studied with stationary charged dust. The dynam-ical role here is played by heavy ions. The small amplitude limit infuence of various plasma parameters shows that the phase velocity of the mode ...
Aziz Khan Khan, U. Zakir, A. Rahman, J. Ali, Q. Haque   +4 more
doaj   +1 more source

Theoretical investigation of the behavior of spherical ion- acoustic solitons in two-temperature plasma [PDF]

مجله علوم و فنون هسته‌ای, 2019
The propagation of the small amplitude ion-acoustic solitary waves (IASWs) is studied in a plasma containing cold fluid ions and multi-temperature electrons (cool and hot electrons) with the nonextensive distribution.
M Nezam, A Nazari Golshan
doaj   +1 more source

Analytical Solution of the Local Fractional KdV Equation

Mathematics, 2023
This research work is dedicated to solving the n-generalized Korteweg–de Vries (KdV) equation in a fractional sense. The method is a combination of the Sumudu transform and the Adomian decomposition method.
Kholoud Saad Albalawi, Ibtehal Alazman, Jyoti Geetesh Prasad, Pranay Goswami   +3 more
doaj   +1 more source

Kinetic equation for a dense soliton gas [PDF]

, 2005
We propose a general method to derive kinetic equations for dense soliton gases in physical systems described by integrable nonlinear wave equations.
A. M. Kamchatnov, A. C. Newell, A. C. Scott, G. A. El, G. B. Whitham, S. P. Novikov, V. E. Zakharov, V. E. Zakharov   +7 more
core   +3 more sources

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

Engineering Reports, Volume 8, Issue 2, February 2026.
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad, Mariam Sultana, Homan Emadifar, Atul Kumar   +3 more
wiley   +1 more source