Results 61 to 70 of about 2,219 (128)
Algebraic identities associated with KP and AKNS hierarchies [PDF]
, 2005 Explicit KP and AKNS hierarchy equations can be constructed from a certain set of algebraic identities involving a quasi-shuffle product.
arxiv +1 more source
Global well-posedness for KdV in Sobolev Spaces of negative index [PDF]
, 2001 The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data.
Colliander, J. +4 more
core +1 more source
A note on the stability for Kawahara-KdV type equations
, 2009 In this paper we establish the nonlinear stability of solitary traveling-wave solutions for the Kawahara-KdV equation $$u_t+uu_x+u_{xxx}-\gamma_1 u_{xxxxx}=0,$$ and the modified Kawahara-KdV equation $$u_t+3u^2u_x+u_{xxx}-\gamma_2 u_{xxxxx}=0,$$ where ...
Natali, F.
core +1 more source
The exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
Results in Physics, 2021 In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3 + 1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which ...
Xiaofang Duan, Junliang Lu
doaj
Sharp well-posedness for the cubic NLS and mKdV in $H^s({{\mathbb {R}}})$
Forum of Mathematics, PiWe prove that the cubic nonlinear Schrödinger equation (both focusing and defocusing) is globally well-posed in $H^s({{\mathbb {R}}})$ for any regularity $s>-\frac 12$ .
Benjamin Harrop-Griffiths +2 more
doaj +1 more source
A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy
, 2018 The complete integrability of a generalized Riemann type hydrodynamic hierarchy is studied by means of a novel combination of symplectic and differential-algebraic tools.
A. Samoilenko +3 more
semanticscholar +1 more source
Exact solutions for a generalized Higgs equation
Journal of King Saud University: Science, 2020 In this paper, the improved tanh-coth method is used for construct exact traveling wave solutions for a new coupled nonlinear system. Variable coefficients and a forcing term are considered. As particular case, new exact solutions for the classical Higgs
Cesar A. Gómez S
doaj
Self-Similar Blowup Solutions to the 2-Component Degasperis-Procesi Shallow Water System
, 2010 In this article, we study the self-similar solutions of the 2-component Degasperis-Procesi water system:% [c]{c}% \rho_{t}+k_{2}u\rho_{x}+(k_{1}+k_{2})\rho u_{x}=0 u_{t}-u_{xxt}+4uu_{x}-3u_{x}u_{xx}-uu_{xxx}+k_{3}\rho\rho_{x}=0. By the separation method,
Camassa +19 more
core +1 more source
Advances in Nonlinear Analysis, 2017 In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
doaj +1 more source
On finite energy solutions of the KP-I equation [PDF]
arXiv, 2006 We prove that the flow map of the Kadomtsev-Petviashvili-I (KP-I) equation is not uniformly continuous on bounded sets of the natural energy space.
arxiv