2022
DOI: 10.1088/1572-9494/aca0e2
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Multi-solutions with specific geometrical wave structures to a nonlinear evolution equation in the presence of the linear superposition principle

Abstract: Lump solutions are one of the most common solutions for nonlinear evolution equations. This study aspires to investigate the generalized Hietarintatype equation. We auspiciously provide multiple M-lump waves. On the other hand, collision phenomena to multiple M-lump waves with soliton wave solutions are also provided. During the collision, the amplitude of the lump will change significantly over the processes, whereas the amplitude of the soliton will just minimally alter. As it is of paramount importance, we… Show more

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Cited by 21 publications
(3 citation statements)
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“…Nonlinear waves are physically and currently interesting [1][2][3]. Physical studies on the pulse waves in the human arteries have started from the ancient times until the present, while recent theoretical efforts have been focused on the probes for nonlinear pulse waves in the variable-radius arteries [4][5][6][7][8][9][10][11][12][13][14][15][16].…”
Section: Background Around Us and Our Considerationmentioning
confidence: 99%
“…Nonlinear waves are physically and currently interesting [1][2][3]. Physical studies on the pulse waves in the human arteries have started from the ancient times until the present, while recent theoretical efforts have been focused on the probes for nonlinear pulse waves in the variable-radius arteries [4][5][6][7][8][9][10][11][12][13][14][15][16].…”
Section: Background Around Us and Our Considerationmentioning
confidence: 99%
“…Now, various systematic approaches to finding exact solutions have been established. For example, Bell polynomial method [5][6][7], Hirota bilinear method [8][9][10], Darboux transform method [11], nonlinear superposition method [12][13][14], variable separation method [15], rational function transformation method [16][17], etc.…”
Section: Introductionmentioning
confidence: 99%
“…The amazing and an extraordinary variety of explanatory methods which are growing more important for NLEEs may be used to demonstrate the excessive miracles that have emerged in the domains of diagram and mathematical component science. Numerous disciplines, including as physics of solid state, mathematical physics, optical fiber, oceanography, communication systems, mathematical biology, fluid mechanics, geochemistry, plasma physics, and chemical physics [ [1] , [2] , [3] , [4] , [5] , [6] , [7] , [8] , [9] , [10] , [11] , [12] ], make advantage of the wave phenomena of NLEEs. The NLEEs equation has not yet been solved using such a technique.…”
Section: Introductionmentioning
confidence: 99%