Volume 35, Issue 4
Exact Solutions to the Bidirectional SK-Ramani Equation

Commun. Math. Res., 35 (2019), pp. 289-300.

Published online: 2019-12

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• Abstract

In this paper, the bidirectional SK-Ramani equation is investigated by means of the extended homoclinic test approach and Riemann theta function method, respectively. Based on the Hirota bilinea method, exact solutions including one-soliton wave solution are obtained by using the extended homoclinic approach and one-periodic wave solution is constructed by using the Riemann theta function method. A limiting procedure is presented to analyze in detail the relations between the one periodic wave solution and one-soliton solution.

• Keywords

Hirota bilinear method, bidirectional Sawada-Kotera equation, extended homoclinic test approach, Riemann theta function.

• AMS Subject Headings

37K40, 35Q51, 35C08

zoujiahui0@163.com (Jiahui Zou)

yhwang@shmtu.edu.cn (Yunhu Wang)

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@Article{CMR-35-289, author = {Jiahui and Zou and zoujiahui0@163.com and 6061 and College of Science, University of Shanghai for Science and Technology, Shanghai, 200093 and Jiahui Zou and Yunhu and Wang and yhwang@shmtu.edu.cn and 6062 and College of Art and Sciences, Shanghai Maritime University, Shanghai, 201306 and Yunhu Wang}, title = {Exact Solutions to the Bidirectional SK-Ramani Equation}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {4}, pages = {289--300}, abstract = {

In this paper, the bidirectional SK-Ramani equation is investigated by means of the extended homoclinic test approach and Riemann theta function method, respectively. Based on the Hirota bilinea method, exact solutions including one-soliton wave solution are obtained by using the extended homoclinic approach and one-periodic wave solution is constructed by using the Riemann theta function method. A limiting procedure is presented to analyze in detail the relations between the one periodic wave solution and one-soliton solution.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.04.01 }, url = {http://global-sci.org/intro/article_detail/cmr/13534.html} }
TY - JOUR T1 - Exact Solutions to the Bidirectional SK-Ramani Equation AU - Zou , Jiahui AU - Wang , Yunhu JO - Communications in Mathematical Research VL - 4 SP - 289 EP - 300 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.04.01 UR - https://global-sci.org/intro/article_detail/cmr/13534.html KW - Hirota bilinear method, bidirectional Sawada-Kotera equation, extended homoclinic test approach, Riemann theta function. AB -

In this paper, the bidirectional SK-Ramani equation is investigated by means of the extended homoclinic test approach and Riemann theta function method, respectively. Based on the Hirota bilinea method, exact solutions including one-soliton wave solution are obtained by using the extended homoclinic approach and one-periodic wave solution is constructed by using the Riemann theta function method. A limiting procedure is presented to analyze in detail the relations between the one periodic wave solution and one-soliton solution.

Jiahui Zou & Yunhu Wang. (2019). Exact Solutions to the Bidirectional SK-Ramani Equation. Communications in Mathematical Research . 35 (4). 289-300. doi:10.13447/j.1674-5647.2019.04.01
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