The deformed modified Korteweg-de Vries equation: Multi-soliton solutions and their interactions

被引：2
|
作者：
Kumar, S. Suresh [1 ]
机构：
[1] Thiruvalluvar Univ, C Abdul Hakeem Coll Autonomous, PG & Reserarch Dept Math, Ranipet 632509, India
来源：
PRAMANA-JOURNAL OF PHYSICS | 2023年 / 97卷 / 03期
关键词：
Deformed modified Korteweg-de Vries equation; Hirota's bilinear method; solitons; ION-ACOUSTIC SOLITON; CONSERVATION-LAWS; MKDV EQUATIONS; INTEGRABILITY; WAVES; PROPAGATION; MODELS; TDGL;
D O I：
10.1007/s12043-023-02581-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we demonstrate how Hirota's bilinear method can be employed to derive single-soliton, two-soliton and three-soliton solutions of the deformed modified Korteweg-de Vries (KdV) equation. We note that the derived soliton solutions depend on the time-dependent function, revealing that the speed of the soliton solutions no longer explicitly depends on wave amplitude. Finally, we graphically demonstrate the evolution of multi-soliton solutions and their interactions.
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页数：12
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