Scholarlink

<p>This work focuses on nonlinear partial differential equations (NPDEs) and methods to derive solitary wave solutions, which are vital for studying wave phenomena. Two approaches, the generalized Kudryashov technique and the generalized exponential rational function (GERF) method, are utilized to derive precise solutions. The Kudryashov method identifies solutions by substituting specific forms, while the GERF approach involves functions with exponential or rational structures. Together, these methods provide useful tools for analyzing complex behaviors in various physical systems. The model is observed to have multiple solitons, lump-type solitons, bell-type solitons, kink-type solitons, oscillating multi-soliton wave solutions, line solitons, and exponential function solutions. The literature has never included any of these obtained solutions for this model. The mKdV-CBSEs is a prominent model with considerable benefits in many areas of physics. The graphical interpretation of the solutions is also depicted through three-dimensional and two-dimensional figures. The findings exhibit complex physical patterns that contribute to understanding nonlinear wave behaviors in soliton theory and plasma physics. These findings are novel, highly encouraging for future research, and establish a strong foundation for solving nonlinear evolution equations (NLEEs) compared to previous literature.</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

Abundant closed-form solutions of coupled modified Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff equations through two newly designed analytical techniques

  • 期刊论文

  • 发表日期：

    2026年6月29日

查看全文
  • Chaman Singh,
  • Anshu Kumar

摘要

This work focuses on nonlinear partial differential equations (NPDEs) and methods to derive solitary wave solutions, which are vital for studying wave phenomena. Two approaches, the generalized Kudryashov technique and the generalized exponential rational function (GERF) method, are utilized to derive precise solutions. The Kudryashov method identifies solutions by substituting specific forms, while the GERF approach involves functions with exponential or rational structures. Together, these methods provide useful tools for analyzing complex behaviors in various physical systems. The model is observed to have multiple solitons, lump-type solitons, bell-type solitons, kink-type solitons, oscillating multi-soliton wave solutions, line solitons, and exponential function solutions. The literature has never included any of these obtained solutions for this model. The mKdV-CBSEs is a prominent model with considerable benefits in many areas of physics. The graphical interpretation of the solutions is also depicted through three-dimensional and two-dimensional figures. The findings exhibit complex physical patterns that contribute to understanding nonlinear wave behaviors in soliton theory and plasma physics. These findings are novel, highly encouraging for future research, and establish a strong foundation for solving nonlinear evolution equations (NLEEs) compared to previous literature.