Results 61 to 70 of about 8,881 (223)
East European Journal of PhysicsTheoretical and numerical studies of ion-acoustic solitary waves (IASWs) in an unmagnetized plasma with ions, positron beams under pressure variation, and kaniadakis distributed electrons have been conducted. The potential wave amplitude is calculated by
Rafia Khanam, Satyendra Nath Barman
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Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado +2 more
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An efficient approach for the numerical solution of fifth-order KdV equations
Open Mathematics, 2020 The main aim of this article is to use a new and simple algorithm namely the modified variational iteration algorithm-II (MVIA-II) to obtain numerical solutions of different types of fifth-order Korteweg-de Vries (KdV) equations.
Ahmad Hijaz +2 more
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Coupled KdV equations derived from atmospherical dynamics
, 2005 Some types of coupled Korteweg de-Vries (KdV) equations are derived from an atmospheric dynamical system. In the derivation procedure, an unreasonable $y$-average trick (which is usually adopted in literature) is removed.
Ablowitz M J +19 more
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Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
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Abstract and Applied Analysis, 2015 Some explicit travelling wave solutions to constructing exact solutions of nonlinear partial differential equations of mathematical physics are presented.
A. R. Seadawy, K. El-Rashidy
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Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method
Sultan Qaboos University Journal for Science, 2015 In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to
Kamel Al-Khaled
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Dispersionless Limit of Integrable Models [PDF]
, 2002 Nonlinear dispersionless equations arise as the dispersionless limit of well know integrable hierarchies of equations or by construction, such as the system of hydrodynamic type.
Brunelli, J. C.
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Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
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The Painleve Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients [PDF]
, 2006 The general KdV equation (gKdV) derived by T. Chou is one of the famous (1+1) dimensional soliton equations with variable coefficients. It is well-known that the gKdV equation is integrable.
Kobayashi, Tadashi, Toda, Kouichi
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