Dynamical pathology, singular manifold, bilinear forms and solitons on a (3+1)-dimensional Jadaun-Singh equation in aortic dissection

Xin-Yi Gao, Yong-Jiang Guo, Wen-Rui Shan
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Abstract

Recent soliton advances in Indian J. Pure Appl. Math. have been impressive, while as to the dynamical pathology, etc., aortic dissection has been seen as a catastrophic disease influencing the aorta. Hereby, symbolic computation is implemented on a (3+1)-dimensional Jadaun-Singh equation for the dynamical pathology in aortic dissection. Via the singular manifold, etc., auto-Bäcklund transformation, bilinear forms and M-soliton solutions are obtained, for the amplitude of the relevant wave, where M is a positive integer. Our results might assist some studies on the dynamical pathology in aortic dissection and cardiothoracic physicians in pinpointing the latent cases and working on such preventive regimens as the control of hypertension and restriction on physiological activity.

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主动脉夹层中 (3+1)-dimensional Jadaun-Singh 方程的动态病理、奇异流形、双线性形式和孤子
印度纯应用数学杂志》(Indian J. Pure Appl. Math.)最近的孤子研究进展令人印象深刻,而在动力学病理等方面,主动脉夹层一直被视为影响主动脉的灾难性疾病。因此,针对主动脉夹层的动力学病理,对 (3+1)-dimensional Jadaun-Singh 方程进行了符号计算。通过奇异流形等、自动贝克隆变换、双线性形式和 M-孑子解等方法,得到了相关波幅(其中 M 为正整数)的解。我们的研究结果可能有助于对主动脉夹层的动力学病理进行研究,也有助于心胸科医生找出潜在病例,并制定预防方案,如控制高血压和限制生理活动。
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