Scholarlink

<p>In this paper we consider traveling wave solutions for a free boundary problem that is related to the Euler equations in hydrodynamics. By using the methods of separation of variables and power series expansions we obtain approximate traveling wave-type solutions for the problem. The properties of the traveling waves solutions are studied and the advantages and limitations of the procedure presented. Physical applications and constructive extensions of the results are discussed and periodic and soliton type traveling waves examples included.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On series solutions of modified Euler equations for two-dimensional incompressible irrotational flow

  • 期刊论文

  • 发表日期：

    2026年4月13日

查看全文
  • Vesselin Vatchev

摘要

In this paper we consider traveling wave solutions for a free boundary problem that is related to the Euler equations in hydrodynamics. By using the methods of separation of variables and power series expansions we obtain approximate traveling wave-type solutions for the problem. The properties of the traveling waves solutions are studied and the advantages and limitations of the procedure presented. Physical applications and constructive extensions of the results are discussed and periodic and soliton type traveling waves examples included.