Breather and multiwave solutions to an extended (3+1)-dimensional Jimbo–Miwa-like equation

Chen, Wenxia; Tang, Liangping; Li, Tian; Yang, Xiawei

doi:10.1016/j.aml.2023.108785

Cited by 2 publications

(2 citation statements)

References 19 publications

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“…It includes a lump solution and two-kink wave solutions. We combine equation (26) and equation (5), extract the combined coefficients for x, y, z, t and cosh i 3 x ( ), and set them to zero, we get the following relationship, When we choose the appropriate values for the rest of the parameters, that is, the following form…”

Section: The Solution Formed By the Action Of A Lump Solution And Mul...mentioning

confidence: 99%

“…The authors studied the lump-type solutions and their dynamics for the equation (1) [25]. Based on the generalized bilinear method and symbolic computation, the authors have investigated the breather and multiwave solutions for the equation (1) [26]. Besides these, many researchers have explored other dynamical properties of the JML equation.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Soliton solutions and the interaction behaviour of the (3+1)-dimensional Jimbo-Miwa-like equation

Ma,

Qi,

Deng

2024

Phys. Scr.

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In this article, we aim to study the dynamical behavior of the (3+1)-dimensional Jimbo- Miwa-like (JML) equation. By using different methods, different forms of solutions are ob- tained. At the same time, in the same method, we also study the influence of parameters on the solution by changing the values of parameters. Firstly, we use the bilinear method to obtain the Y -type and X-type soliton solutions. Secondly, using different test functions, we obtain the interaction phenomenon between the solutions, which is obtained by a lump so- lution and a kink wave solution or by a lump solution and multi-kink wave solutions. Lastly, on the basis of the study of the single lump solution, we have made a further exploration. We not only obtain the lump-periodic solution, which verifies the periodicity, but also obtain the lump-soliton solution. For the above wave solutions, we graphically describe their dynamical properties with MAPLE. It is worth mentioning that the content of our study is different from the existing research: we not only use different methods to study the solutions of the JML equation, but also use different parameter relations and different values of parameters to study the changes of solutions. At the same time, we also use different test functions to study the same form of wave solutions. It is intuitive to see the influence of the test func- tion on the dynamic behavior of the solution. In addition, our results not only enable us to understand the dynamic properties of such equations more intuitively, but also provide some ideas for researchers to facilitate more indepth exploration.

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Section: The Solution Formed By the Action Of A Lump Solution And Mul...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Soliton solutions and the interaction behaviour of the (3+1)-dimensional Jimbo-Miwa-like equation

Ma,

Qi,

Deng

2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

The bifurcation, chaotic behavior and exact solutions of the fractional stochastic Jimbo–Miwa equations

Zhang

2024

Optik

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Breather and multiwave solutions to an extended (3+1)-dimensional Jimbo–Miwa-like equation

Cited by 2 publications

References 19 publications

Soliton solutions and the interaction behaviour of the (3+1)-dimensional Jimbo-Miwa-like equation

Soliton solutions and the interaction behaviour of the (3+1)-dimensional Jimbo-Miwa-like equation

The bifurcation, chaotic behavior and exact solutions of the fractional stochastic Jimbo–Miwa equations

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