@article{Dang2023, 
author = {Guoqiang Dang},
title = {Elliptic and multiple-valued solutions of some higher order ordinary differential equations},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {10},
pages = {5946-5958},
keywords = {the complex method, meromorphic solution, elliptic function, multiple-valued solution, KdV-like equation},
url = {https://www.sciopen.com/article/10.3934/era.2023302},
doi = {10.3934/era.2023302},
abstract = {In the present paper, by the complex method, the meromorphic solutions of the higher order ordinary differential equation        w          (      5      )        +  a      w                          ″              +  b      w    2    −  c  w  +  d  =  0 are investigated, where    a  ,  b  ,  c  ,  d are constant complex numbers, and    b  ≠  0. Furthermore, by Theorem 1.1, we built elliptic and multiple-valued solutions for the higher order ordinary differential equations        u          (      6      )        −      u          (      5      )        +      u          ′      2        −  2      u    ′    u  +      u    2    +  2      u    ′    −  2  u  +  1  =  0 and        u          (      6      )        −      u          (      5      )        +  a      u                          ‴              −  a      u    ″    +  b      u          ′      2        −  2  b      u    ′    u  +  b      u    2    −  c      u    ′    +  c  u  +  d  =  0. At the end, we give some new meromorphic solutions for two higher-order KdV-like equations.}
}