Results 11 to 20 of about 24,955,494 (69)

Bäcklund transformation and multiple soliton solutions for a cylindrical KdV equation to model electron-acoustic waves in the Saturnian magnetosphere [PDF]

AIP Advances
In this work, we investigate nonlinear electron-acoustic waves (EAWs) in the Saturn’s magnetosphere, modeled as a plasma system with cold inertial electrons, inertia-less kappa-distributed hot electrons, and stationary ions.
Khizra Qaiser, Waqas Masood, Rabia Jahangir, Hanan Al-Ghamdi, Muhammad Shahnewaz Bhuyan   +4 more
doaj   +2 more sources

Extended (G′G)-expansion method for solving the coupled KdV equations with two arbitrary constants and its application to MEMS system [PDF]

Frontiers of Physics
The coupled Korteweg-de Vries (cKdV) equations with two arbitrary constants hold significant importance in the field of micro-electro-mechanical systems (MEMS). These equations describe the behavior of nonlinear waves in MEMS devices.
Jiao Zhang, Fucai You
core   +2 more sources

Bäcklund Transformations for Nonlinear Differential Equations and Systems

Axioms, 2019
In this work, new Bäcklund transformations (BTs) for generalized Liouville equations were obtained. Special cases of Liouville equations with exponential nonlinearity that have a multiplier that depends on the independent variables and first-order ...
Arthur R. Zakinyan, Olesya B. Surneva, Tatyana V. Redkina, Olga S. Yanovskaya, Olesya B. Surneva, Robert G. Zakinyan, Olga S. Yanovskaya, Arthur R. Zakinyan, Robert G. Zakinyan, Tatyana V. Redkina   +9 more
core   +2 more sources

Nonlinear concentric water waves of moderate amplitude

Wave Motion
We consider the outward-propagating nonlinear concentric water waves within the scope of the 2D Boussinesq system. The problem is axisymmetric, and we derive the slow radius versions of the cylindrical Korteweg - de Vries (cKdV) and extended cKdV (ecKdV)
D Tseluiko, Wooyoung Choi, K R Khusnutdinova   +2 more
exaly   +4 more sources

Plasma with two-negative ions and immobile dust particles: planar and non-planar ion-acoustic wave propagation

, 2011
By using the hydrodynamic equations of positive and two negative ions, Boltzmann electron density distribution, and Poisson equation with immobile positive/negative dust particles, a cylindrical Korteweg-de Vries (CKdV) equation is derived for small but ...
Kh. A. Shnishin, S. K. El-Labany, S. A. El-Tantawy, W. M. Moslem   +3 more
core   +2 more sources

Evolution of perturbed long nonlinear plane, ring, and hybrid surface waves

Journal of Fluid Mechanics
The two-dimensional evolution of perturbed long weakly-nonlinear surface plane, ring, and hybrid waves, consisting, to leading order, of a part of a ring and two tangent plane waves, is modelled numerically within the scope of the 2D Boussinesq–Peregrine
Ben Martin (11148855), Karima Khusnutdinova (1247967), Dmitri Tseluiko (1256982)   +2 more
core   +2 more sources

Null Curve Evolution in Four‐Dimensional Pseudo‐Euclidean Spaces

Advances in Mathematical Physics, Volume 2016, Issue 1, 2016., 2016
We define a Lie bracket on a certain set of local vector fields along a null curve in a 4‐dimensional semi‐Riemannian space form. This Lie bracket will be employed to study integrability properties of evolution equations for null curves in a pseudo‐Euclidean space.
José del Amor, Ángel Giménez, Pascual Lucas, Emilio Elizalde   +3 more
wiley   +1 more source

What is System Dynamics Modeling? Defining Characteristics and the Opportunities they Create [PDF]

System Dynamics Review, 2023
A clear definition of system dynamics modeling can provide shared understanding and clarify the impact of the field. We introduce a set of characteristics that define quantitative system dynamics, selected to capture core philosophy, describe theoretical
A. Naugle, Saeed P. Langarudi, Timothy Clancy   +2 more
semanticscholar   +1 more source

Classification of Multiply Travelling Wave Solutions for Coupled Burgers, Combined KdV‐Modified KdV, and Schrödinger‐KdV Equations

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
Some explicit travelling wave solutions to constructing exact solutions of nonlinear partial differential equations of mathematical physics are presented. By applying a theory of Frobenius decompositions and, more precisely, by using a transformation method to the coupled Burgers, combined Korteweg‐de Vries‐ (KdV‐) modified KdV and Schrödinger‐KdV ...
A. R. Seadawy, K. El-Rashidy, Yasir Khan
wiley   +1 more source

Local Well-posedness of the Coupled KdV-KdV Systems on $\mathbb{R}$

, 2022
Inspired by the recent successful completion of the study of the well-posedness theory for the Cauchy problem of the Korteweg-de Vries (KdV) equation \[ u_t +uu_x +u_{xxx}=0, \quad \left. u \right |_{t=0}=u_{0} \] in the space $H^{s} (\mathbb{R})$ (or $H^
Yang, Xin, Zhang, Bing-Yu
core   +1 more source