2) generalized symmetric regularized long wave equation with arbitrary order nonlinear term
具有任意阶非线性项的广义对称正则长波方程
1.
0 and generalized power-exponential function method,the generalized symmetric regularized long wave equation with arbitrary order nonlinear term is studied,the kink-shaped and bell-shaped solutions of the equation were got,this approach can also be applied to solve other evolution equations.
0软件、广义幂-指函数法研究了具有任意阶非线性项的广义对称正则长波方程,得到了方程的扭状行波解和钟状行波解,这种方法也适合研究其它的非线性发展方程。
3) nonlinear evolution equation
非线性演化方程
1.
New exact periodic solutions to a category of nonlinear evolution equations;
一类非线性演化方程的新精确周期解
2.
New format solutions for (2+1)-dimensional nonlinear evolution equations;
(2+1)维非线性演化方程的形式新解
3.
Exact solutions to a few nonlinear evolution equations;
几个非线性演化方程的精确解
4) nonlinear evolution equations
非线性演化方程
1.
A simple method for constructing elliptic function solutions to the nonlinear evolution equations and its applications;
非线性演化方程椭圆函数解的一种简单求法及其应用
2.
Exact solitary wave solutions of several nonlinear evolution equations;
几个非线性演化方程的准确孤立波解
3.
Power series solutions of initial value problems for a class of nonlinear evolution equations
一类非线性演化方程初值问题的幂级数解
5) polynomial growth nonlinearity of arbitrary order
任意阶多项式增长指数非线性性
6) quasi-linear third order evolution equations
拟线性三阶演化方程
1.
Group classification of quasi-linear third order evolution equations is performed by using the classical infinitesimal Lie method,the technique of equivalence transformations and the theory of classification of abstract low-dimensional Lie algebras.
利用古典无穷小算法、等价性变换技巧和有限维抽象李代数的分类理论,给出了一般拟线性三阶演化方程在半单和一维至四维可解李代数下不变的群分类。
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