New periodic-wave solutions for (2+1)- and (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equations

Tang, Yaning; Zai, Weijian

doi:10.1007/s11071-015-1986-4

Cited by 68 publications

(21 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This equation was utilized to depict the (2 + 1)-dimensional interaction of the Riemann wave propagated along the y-axis with a long wave propagated along the x-axis. Many researchers are focusing to extract exact solutions of BLMP equation using various different methods such as, based on the binary Bell polynomials [23], Wronskian formalism and the Hirota method [24,25], the extended homoclinic test approach [26], the rational sine-cosine method [27] and so on. The strategy of the paper is summarized as follows: Demarcation of extended rational sine-cosine and extended rational sinh-cosh approaches are presented, in Section 2.…”

Section: Introductionmentioning

confidence: 99%

Application of extended rational trigonometric techniques to investigate solitary wave solutions

Mahak

Akram

2021

Opt Quant Electron

View full text Add to dashboard Cite

In this paper, a variety of novel exact traveling wave solutions are constructed for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation via analytical techniques, namely, extended rational sine-cosine method and extended rational sinh-cosh method. The physical meaning of the geometrical structures for some of these solutions is discussed. Obtained solutions are expressed in terms of singular periodic wave, solitary waves, bright solitons, dark solitons, periodic wave and kink wave solutions with specific values of parameters. For the observation of physical activities of the problem, achieved exact solutions are vital. Moreover, to find analytical solutions of the proposed equation many methods have been used but given methodologies are effective, reliable and gave more and novel exact solutions.

show abstract

Section: Introductionmentioning

confidence: 99%

Application of extended rational trigonometric techniques to investigate solitary wave solutions

Mahak

Akram

2021

Opt Quant Electron

View full text Add to dashboard Cite

show abstract

“…which was derived by Boiti et al when they researched a Korteweg-de Vries (KdV) equation through weak Lax pairs relations (Boiti, Leon, Manna, & Pempinelli, 1986). Many researchers discussed the BLMP equation (Darvishi, Najafi, Kavitha, & Venkatesh, 2012;Li & Ma, 2018;Liu, Du, Zeng, & Nie, 2017;Liu, Tian, & Hu, 2018;Mabrouk & Rashed, 2017;Osman & Wazwaz, 2019;Peng, Tian, & Zhang, 2019;Tang & Zai, 2015;Wu, Liu, Piao, Zhuang, & Wang, 2020;Xu, 2019;Zuo, Gao, Yu, Sun, & Xue, 2015). The modified form of Eq.…”

Section: Introductionmentioning

confidence: 99%

On some new soliton solutions of (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation using two different methods

Ali

Mehanna²

2021

Arab Journal of Basic and Applied Sciences

View full text Add to dashboard Cite

In this article, a new solution for the ð3 þ 1Þ dimensions Boiti-Leon-Manna-Pempinelli (BLMP) equation using the sine Gordon expansion method and the extended tanh function method is given. The methods were chosen very carefully due to the precision of their solutions. Also, some of the two-and three-dimensional figures and some of the contours plots of the obtained solutions were presented. Finally, a discussion of the results was given.

show abstract

“…Zuo et al 3 derived the bilinear form, Lax pairs, and Bäcklund transformations. Tang and Zai 4 obtained the new periodic-wave solutions. Liu et al 5,6 given the new three-wave and non-traveling wave solutions.…”

Section: Introductionmentioning

confidence: 99%

Breather wave and lump‐type solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation in incompressible fluid

Liu

Wazwaz

2020

Math Methods in App Sciences

View full text Add to dashboard Cite

Under investigation is a new (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. The main results are listed as follows: (i) lump solutions; (ii) interaction solutions between lump wave and solitary waves; (iii) interaction solutions between lump wave and periodic waves; and (iv) breather wave solutions. Furthermore, graphical representation of all solutions is studied and shown in some 3D and contour plots.

show abstract

New periodic-wave solutions for (2+1)- and (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equations

Cited by 68 publications

References 25 publications

Application of extended rational trigonometric techniques to investigate solitary wave solutions

Application of extended rational trigonometric techniques to investigate solitary wave solutions

On some new soliton solutions of (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation using two different methods

Breather wave and lump‐type solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation in incompressible fluid

Contact Info

Product

Resources

About