05 تیر 1403
بهزاد قنبري

بهزاد قنبری

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن:
دانشکده: دانشکده علوم پایه و کاربردی

مشخصات پژوهش

عنوان
Collision Dynamics of High-order Localized Waves in a Novel (3 + 1)-dimensional Integrable Boussinesq Model
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
(3+1)-d Boussinesq equation Hirota bilinear method Collision phenomenon Localized wave Symbolic computation approach
پژوهشگران یوجین نیو (نفر اول)، کیونلین یوان (نفر دوم)، بهزاد قنبری (نفر سوم)، ژائو ژانگ (نفر چهارم)، یان کاو (نفر پنجم)

چکیده

The pursuit of finding precise solutions for complex nonlinear systems in high dimensions has long been a significant goal in the fields of mathematics and physics. This paper focuses on investigating a novel equation, referred to as the -dimensional Boussinesq equation, which accurately describes the behavior of gravity waves on the surface of water. Using the Hirota bilinear method, the study successfully derives multiple-soliton and multi-breather solutions for the Boussinesq equation. Moreover, it presents mixed solutions that combine solitons and breathers under specific parameter conditions. By considering the long wave limit for these solitons, rational and semi-rational solutions for the equation are obtained. These rational solutions encompass line rogue waves and lump waves, while the semi-rational solutions emerge from the interaction between line rogue waves and solitons. Additionally, employing symbolic computation, the paper introduces a class of multiple lumps for the -d Boussinesq equation, showcasing intriguing triangular formations and circular patterns. Overall, the findings of this research enhance our understanding of unique nonlinear phenomena and offer valuable theoretical support for future experimental investigations.