Linear Superposition in Nonlinear Equations
数学物理
2009-11-07 v1 凝聚态物理
高能物理 - 理论
偏微分方程分析
math.MP
可精确求解与可积系统
量子物理
摘要
Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinations of known periodic solutions involving Jacobi elliptic functions yield a large class of additional solutions. This procedure works by virtue of some remarkable new identities satisfied by the elliptic functions.
引用
@article{arxiv.math-ph/0112002,
title = {Linear Superposition in Nonlinear Equations},
author = {Avinash Khare and Uday Sukhatme},
journal= {arXiv preprint arXiv:math-ph/0112002},
year = {2009}
}
备注
7 pages, 1 figure