Solitary-wave solutions to a class of fifth-order model equations
Solitary-wave solutions to a class of fifth-order model equations
复制标题
一类五阶模型方程的孤立波解
DOI：
10.1088/0951-7715/11/2/009
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发表时间：
1998
期刊：
影响因子：
1.7
通讯作者：
M. Groves
中科院分区：
文献类型：
--
作者：
M. Groves
本文考虑了一类非线性项f的五阶方程。这个方程的孤波解是以下形式的解，其中c是常数，r为零。证明了当c<0时，该方程至少有一个非零孤波解，当c<0，.
This paper considers the fifth-order equation for a certain class of nonlinearity f. A solitary-wave solution to this equation is a solution of the form , where c is a constant and r vanishes as . It is shown that the equation has at least one non-zero solitary-wave solution when c<0, and a countably infinite family of geometrically distinct solitary-wave solutions when c<0, .