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.

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Posted 11 Jun, 2021
On 15 Jun, 2021
Received 08 Jun, 2021
Invitations sent on 08 Jun, 2021
On 07 Jun, 2021
On 04 Jun, 2021
On 21 Mar, 2021
Posted 11 Jun, 2021
On 15 Jun, 2021
Received 08 Jun, 2021
Invitations sent on 08 Jun, 2021
On 07 Jun, 2021
On 04 Jun, 2021
On 21 Mar, 2021
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.

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5
The full text of this article is available to read as a PDF.
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