云南高校图书馆联盟文献共享服务平台- HIROTA

HIROTA: 作品数：94被引量：113H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：段文山林麦麦吕克璞徐衍聪陈黎丽更多>>; 相关机构：宁波大学郑州大学西北师范大学浙江师范大学更多>>; 相关期刊：《沈阳工程学院学报（自然科学版）》《Science China Mathematics》《江苏师范大学学报（自然科学版）》《数学的实践与认识》更多>>; 相关基金：国家自然科学基金宁波市自然科学基金浙江省自然科学基金上海市教育委员会重点学科基金更多>>

Periodic solutions,breather,lump and interaction solutions of a generalized(2+1)-dimensional Hirota bilinear equation via the bilinear neural network method: 《Communications in Theoretical Physics》2025年第3期1-11,共11页Zhao Zhao Bo Ren; supported by the National Natural Science Foundation of China under Grant No.12375006;the Weimu Technology Company Limited of Hangzhou of China under Grant No.KYY-HX-20240495。; The main focus of this paper is to address a generalized(2+1)-dimensional Hirota bilinear equation utilizing the bilinear neural network method.The paper presents the periodic solutions through a single-layer model of...; 关键词：bilinear transformation BNNM double-layer model exact analytical solution

On Sawada-Kotera and Kaup-Kuperschmidt integrable systems: 《Communications in Theoretical Physics》2025年第2期21-29,共9页Metin Gürses Aslı Pekcan; partially supported by the Scientific and Technological Research Council of Turkey(TüBITAK)。; To obtain new integrable nonlinear differential equations there are some well-known methods such as Lax equations with different Lax representations.There are also some other methods that are based on integrable scala...; 关键词：M_(2)-extension recursion operator nonlocal reductions Hirota bilinear form soliton solutions

Residual symmetry and interactions between solitons and periodic waves of the Drinfeld-Sokolov-Satsuma-Hirota system: 《Communications in Theoretical Physics》2025年第1期1-10,共10页Jie-tong Li Jun Yu Xi-zhong Liu; supported by the National Natural Science Foundation of China under Grant Nos.12175148 and 11975156。; In this paper,the Drinfeld-Sokolov-Satsuma-Hirota(DSSH)system is studied by using residual symmetry and the consistent Riccati expansion(CRE)method,respectively.The residual symmetry of the DSSH system is localized to...; 关键词：Drinfeld-Sokolov-Satsuma-Hirota system residual symmetry consistent Riccati expansion

Double-Pole Solution and Soliton-Antisoliton Pair Solution of MNLSE/DNLSE Based upon Hirota Method: 《Wuhan University Journal of Natural Sciences》2024年第5期430-438,共9页LUO Runjia ZHOU Guoquan; Supported by the National Natural Science Foundation of China (12074295)。; Hirota method is applied to solve the modified nonlinear Schrodinger equation/the derivative nonlinear Schrodinger equation(MNLSE/DNLSE) under nonvanishing boundary conditions(NVBC) and lead to a single and double-pol...; 关键词：nonlinear partial differential equation integrable system Hirota's bilinear derivative method soliton solution the derivative Schrodinger equation nonlinear optics

A unique computational investigation of the exact traveling wave solutions for the fractional-order Kaup-Boussinesq and generalized Hirota Satsuma coupled KdV systems arising from water waves and interaction of long waves: 《Journal of Ocean Engineering and Science》2024年第5期437-453,共17页Xiaofeng Wang Xiao-Guang Yue Mohammed K.A.Kaabar Arzu Akbulut Melike Kaplan; A novel technique,named auxiliary equation method,is applied in this research work for obtaining new traveling wave solutions for two interesting proposed systems:the Kaup-Boussinesq system and generalized Hirota-Sats...; 关键词：Symbolic computation Fractional differential equations Beta derivative Auxiliary equation method Solitary solutions Nonlinear equations

New lump solutions and several interaction solutions and their dynamics of a generalized(3+1)-dimensional nonlinear differential equation: 《Communications in Theoretical Physics》2024年第2期1-13,共13页Yexuan Feng Zhonglong Zhao; supported by the National Natural Science Foundation of China(Nos.12101572,12371256);2023 Shanxi Province Graduate Innovation Project(No.2023KY614);the 19th Graduate Science and Technology Project of North University of China(No.20231943)。; In this paper,we mainly focus on proving the existence of lump solutions to a generalized(3+1)-dimensional nonlinear differential equation.Hirota’s bilinear method and a quadratic function method are employed to deri...; 关键词：lump solutions generalized(3+1)-dimensional nonlinear differential equation Hirota's bilinear method quadratic function method interaction solutions

Trajectory equation of a lump before and after collision with other waves for generalized Hirota–Satsuma–Ito equation被引量：1: 《Chinese Physics B》2023年第10期163-171,共9页夏亚荣张开开姚若侠申亚丽; Project supported by the National Natural Science Foundation of China(Grant Nos.12001424 and 12271324);the Natural Science Basic Research Program of Shaanxi Province,China(Grant No.2021JZ-21);the Chinese Post Doctoral Science Foundation(Grant No.2020M673332);the Three-year Action Plan Project of Xi’an University(Grant No.2021XDJH01)。; Based on the Hirota bilinear and long wave limit methods,the hybrid solutions of m-lump with n-soliton and nbreather wave for generalized Hirota–Satsuma–Ito(GHSI)equation are constructed.Then,by approximating soluti...; 关键词：Hirota bilinear method long wave limit hybrid solutions trajectory equation

基于Hirota方法探求非零边界条件下MNLS/DNLS方程的孤子解被引量：3: 《物理与工程》2023年第4期79-84,共6页周国全雒润嘉齐蓥; Hirota双线性导数变换处理非线性偏微分方程,是一种比反散射变换更为方便的直接方法。本文展示了Hirota双线性导数变换法应用于求解非线性可积方程的一般手续,以非零驻波边界条件下修正的非线性薛定谔(MNLS)方程为例,探求其孤子解;再通...; 关键词：孤子非线性方程修正的非线性薛定谔方程导数非线性薛定谔方程 HIROTA方法 Hirota双

Dynamical rational solutions and their interaction phenomena for an extended nonlinear equation: 《Communications in Theoretical Physics》2023年第3期1-11,共11页Karmina K Ali Abdullahi Yusuf Wen-Xiu Ma; In this paper,we analyze the extended Bogoyavlenskii-Kadomtsev-Petviashvili(eBKP)equation utilizing the condensed Hirota's approach.In accordance with a logarithmic derivative transform,we produce solutions for single...; 关键词：simplified Hirota's method lump solution mixed solution complex multiple soliton eBKP equation

Two-wave,breather wave solutions and stability analysis to the(2+1)-dimensional Ito equation: 《Journal of Ocean Engineering and Science》2022年第5期467-474,共8页Tukur Abdulkadir Sulaiman Abdullahi Yusuf Evren Hincal Dumitru Baleanu Mustafa Bayram; The current study employs the novel Hirota bilinear scheme to investigate the nonlinear model.Thus,we acquire some two-wave and breather wave solutions to the governing equation.Breathers are pulsating localized struc...; 关键词：Governing model Scheme Two-waves and breather wave solution Stability analysis Hirota bilinear

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