[BOOK][B] Handbook of nonlinear partial differential equations: exact solutions, methods, and problems
AD Polyanin, VF Zaitsev - 2003 - taylorfrancis.com
The Handbook of Nonlinear Partial Differential Equations is the latest in a series of
acclaimed handbooks by these authors and presents exact solutions of more than 1600 …
acclaimed handbooks by these authors and presents exact solutions of more than 1600 …
[BOOK][B] The water waves problem: mathematical analysis and asymptotics
D Lannes - 2013 - books.google.com
Page 1 Mathematical Surveys and Monographs Volume 188 The Water Waves Problem
Mathematical Analysis and Asymptotics David Lannes American Mathematical Society Page 2 …
Mathematical Analysis and Asymptotics David Lannes American Mathematical Society Page 2 …
The hydrodynamical relevance of the Camassa–Holm and Degasperis–Procesi equations
In recent years two nonlinear dispersive partial differential equations have attracted much
attention due to their integrable structure. We prove that both equations arise in the …
attention due to their integrable structure. We prove that both equations arise in the …
Generalizations of the Camassa–Holm equation
V Novikov - Journal of Physics A: Mathematical and Theoretical, 2009 - iopscience.iop.org
Abstract We classify generalized Camassa–Holm-type equations which possess infinite
hierarchies of higher symmetries. We show that the obtained equations can be treated as …
hierarchies of higher symmetries. We show that the obtained equations can be treated as …
[BOOK][B] Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics
VA Galaktionov, SR Svirshchevskii - 2006 - taylorfrancis.com
Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in
Mechanics and Physics is the first book to provide a systematic construction of exact …
Mechanics and Physics is the first book to provide a systematic construction of exact …
[BOOK][B] Topological and non-topological solitons in scalar field theories
YM Shnir - 2018 - books.google.com
Solitons emerge in various non-linear systems as stable localized configurations, behaving
in many ways like particles, from non-linear optics and condensed matter to nuclear physics …
in many ways like particles, from non-linear optics and condensed matter to nuclear physics …
[HTML][HTML] A view of the peakon world through the lens of approximation theory
H Lundmark, J Szmigielski - Physica D: Nonlinear Phenomena, 2022 - Elsevier
Peakons (peaked solitons) are particular solutions admitted by certain nonlinear PDEs, most
famously the Camassa–Holm shallow water wave equation. These solutions take the form of …
famously the Camassa–Holm shallow water wave equation. These solutions take the form of …
Integrable peakon equations with cubic nonlinearity
We present a new integrable partial differential equation found by Vladimir Novikov. Like the
Camassa–Holm and Degasperis–Procesi equations, this new equation admits peaked …
Camassa–Holm and Degasperis–Procesi equations, this new equation admits peaked …
The bell-shaped perturbed dispersive optical solitons of Biswas–Arshed equation using the new Kudryashov's approach
Purpose: This study aimed to examine the effects of the parameters, the group velocity
dispersion (GVD), the third-order dispersion (3OD), spatio-temporal dispersion (STD), the …
dispersion (GVD), the third-order dispersion (3OD), spatio-temporal dispersion (STD), the …
Global existence and blow-up phenomena for the Degasperis-Procesi equation
Y Liu, Z Yin - Communications in mathematical physics, 2006 - Springer
This paper is concerned with several aspects of the existence of global solutions and the
formation of singularities for the Degasperis-Procesi equation on the line. Global strong …
formation of singularities for the Degasperis-Procesi equation on the line. Global strong …