Solitary Wave Solutions of Nonlinear Integro-Partial Differential Equations of 2 IF 1.4 Q2 MATHEMATICS, APPLIED International Journal of Differential Equations Pub Date : 2022-05-29 DOI:10.1155/2022/9954649 Daba Meshesha Gusu, Shelama Diro 求助PDF {"title":"Solitary Wave Solutions of Nonlinear Integro-Partial Differential Equations of <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\n <mfenced open=\"(\" close=\")\" separators=\"|\">\n <mrow>\n <mn>2</mn>\n <m","authors":"Daba Meshesha Gusu, Shelama Diro","doi":"10.1155/2022/9954649","DOIUrl":null,"url":null,"abstract":"The findings indicate an application of a new method of expansion of the forms \n \n \n \n \n \n \n \n Z\n \n \n ′\n \n \n \n /\n Z\n \n \n \n \n and \n \n \n \n \n 1\n /\n Z\n \n \n \n \n to determine the solutions for wave of the solitary nature in the \n \n \n \n 2\n +\n 1\n \n \n \n -dimensional modified form for nonlinear integro-partial differential equations. By using this strategy, we acquired solutions of wave which has a solitary nature that have been solved for three different kinds: hyperbolic, trigonometric, and rational functions. As a result, we obtained different forms of solutions which are new, effective, and powerful to illustrate the solitary nature of waves. The physical and geometrical interpretations have been shown using software in 2 and 3-dimensional surfaces. The obtained results have applications in mathematical and applied sciences. It can also solve different nonlinear integro-partial differential equations which have different applications in physical phenomena using this new method. It has many applications to solve the nonlinear nature of the physical world.","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":"08 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2022-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2022/9954649","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0} 引用次数: 3 引用 批量引用 Abstract The findings indicate an application of a new method of expansion of the forms Z ′ / Z and 1 / Z to determine the solutions for wave of the solitary nature in the 2 + 1 -dimensional modified form for nonlinear integro-partial differential equations. By using this strategy, we acquired solutions of wave which has a solitary nature that have been solved for three different kinds: hyperbolic, trigonometric, and rational functions. As a result, we obtained different forms of solutions which are new, effective, and powerful to illustrate the solitary nature of waves. The physical and geometrical interpretations have been shown using software in 2 and 3-dimensional surfaces. The obtained results have applications in mathematical and applied sciences. It can also solve different nonlinear integro-partial differential equations which have different applications in physical phenomena using this new method. It has many applications to solve the nonlinear nature of the physical world. 分享 查看原文 本刊更多论文 2 研究结果表明，将Z ' / Z和1 / Z形式展开的新方法应用于求解非线性积分偏微分方程2 + 1维修正形式的孤性波解。通过使用这种策略，我们得到了具有孤立性质的波的解，并解决了三种不同类型的问题:双曲函数、三角函数和有理函数。结果，我们得到了不同形式的解，这些解新颖、有效、有力地说明了波的孤立性。用软件在二维和三维表面上显示了物理和几何解释。所得结果在数学和应用科学中具有应用价值。该方法还可用于求解物理现象中不同应用的非线性积分-偏微分方程。它在解决物理世界的非线性本质方面有许多应用。 本文章由计算机程序翻译，如有差异，请以英文原文为准。 求助全文 约1分钟内获得全文 求助全文 来源期刊 International Journal of Differential Equations MATHEMATICS, APPLIED- CiteScore 3.10 自引率 0.00% 发文量 20 审稿时长 20 weeks 相关文献 × 引用 GB/T 7714-2015 复制 MLA 复制 APA 复制 导出至 BibTeX EndNote RefMan NoteFirst NoteExpress × 求助内容： 期刊论文 学位论文 图书 其他 (专利、报告等) 只需要正文 仅需补充材料 应助结果提醒方式： 微信（请自行确认已关注Book学术公众号） 邮件 保存 保存后同步修改账户信息中的邮箱 确认发布求助 × 处理提示 您的部分求助已有人上传文件，您还尚未处理，请先处理完毕再发起新的求助 点击查看 × 努力提交中 提交成功 继续求助查看详情 × 提示 您的信息不完整，为了账户安全，请先补充。 现在去补充 × 没积分了 多种获得积分方式，供你选择！ 查看如何获取积分 × 提示 您因"违规操作" 具体请查看互助需知 我知道了 × 提示 现在去查看 取消 × 提示 确定 × 快捷登录 密码登录 用户名： 密码： 验证码： 两周内记住我 忘记密码？ 手机号： 验证码： 没有帐号？现在注册 请完成安全验证× 微信好友 朋友圈 QQ好友 复制链接 取消 已复制链接 快去分享给好友吧! 我知道了 点击右上角分享 0 $(function () { var title = $("#title").val(); var id = $("#id").val(); $.post("/Literature/GetRelatedLiterature", { id: id, title: title }, function (result) { if (result != null) { var html = ``; for (var i = 0; i < result.length; i++) { html += `<div class="sslist">`; html += `<a class="caption" href="` + $("#url1").val() + result[i].ArticleID + `.htm">` + result[i].Title + `</a>`; html += ` <div class="substance">`; html += `<span class="IF">IF ` + result[i].PeriodicalIF + ` </span>`; if (result[i].RegionNum > 0) { html += `<span class="fq` + result[i].RegionNum + `">` + result[i].RegionNum + `区 ` + result[i].RegionCategory + `</span>`; } //var EmployDataBaseShoreName = result[i].EmployDataBaseShoreName; //if (EmployDataBaseShoreName != "" && EmployDataBaseShoreName!=null) { // var names = EmployDataBaseShoreName.split('||') // for (var j = 0; j < names.length; j++) { // html += `<span class="fq5">` + names[j] + `</span>`; // } //} //html += ``; html += `</div>`; html += `<div class="substance">`; html += `<a href="` + $("#url2").val() + "_d" + result[i].PeriodicalID + `.htm" target="_blank">` + result[i].PeriodicalName + `</a>`; html += `<span class="Pub">Pub Date : ` + result[i].PublishDate + `</span>`; html += `</div>`; html += ` <div class="author">`; html += result[i].AuthorName; html += `</div>`; html += `</div>`; } if (html.length > 0) { $("#xglist").show(); $("#xglist").append(html); } } }); getReferenceCount(); }); function getReferenceCount() { var LocalId = localStorage.getItem("referenceName"); if (LocalId != null) { $.get("/Literature/GetBatchReferenceCountByLocalId", { LocalId: LocalId }, function (result) { $("#referencecount").html(result.Code); }, "json"); } else { $("#referencecount").html('0'); } } wx.config({ debug: false, appId: 'wx999b2eb01732df2e', timestamp: '1740301303', nonceStr: 't5cuj3aN53D9SI3P', signature: '381aa4e84c45922568483d480c6a7557f0ca9547', jsApiList: [ 'onMenuShareTimeline', 'onMenuShareAppMessage', 'hideMenuItems' ] });

Abstract

The findings indicate an application of a new method of expansion of the forms Z ′ / Z and 1 / Z to determine the solutions for wave of the solitary nature in the 2 + 1 -dimensional modified form for nonlinear integro-partial differential equations. By using this strategy, we acquired solutions of wave which has a solitary nature that have been solved for three different kinds: hyperbolic, trigonometric, and rational functions. As a result, we obtained different forms of solutions which are new, effective, and powerful to illustrate the solitary nature of waves. The physical and geometrical interpretations have been shown using software in 2 and 3-dimensional surfaces. The obtained results have applications in mathematical and applied sciences. It can also solve different nonlinear integro-partial differential equations which have different applications in physical phenomena using this new method. It has many applications to solve the nonlinear nature of the physical world.