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Media Tech @mediatech12
2 months ago
2.4.1 Solitary Wave
The nonlinear evolution equations that describe the wave process in dispersive and dissipation media have soliton-like solutions for these waves [6]
2.4.2 Soliton
A solitary wave that asymptotically maintains its shape and velocity when interacting nonlinearly with other solitary waves is known as a soliton [43]. The characteristics of Soliton are as follows:
1. Their form is permanent.
2. They are confined to a certain area.
3. Aside from a phase shift, they can interact with other solitons and come out of the collision unaltered.
4. A fine balance between dispersive and nonlinear effects results in soliton.
2.4.3 Travelling Wave
A traveling wave [43] is one in which the medium moves in the direction of the wave's propagation. When studying nonlinear differential equations, traveling waves occur. These waves are represented by the form
u(x,t)=f(x-ct),
and c is the speed of wave propagation. For c>0, the wave moves in the positive x direction whereas the wave moves in the negative x direction for c
01:03 PM - Feb 27, 2025 (UTC)
Media Tech @mediatech12
2 months ago
2.4.1 Solitary Wave
The nonlinear evolution equations that describe the wave process in dispersive and dissipation media have soliton-like solutions for these waves [6]
2.4.2 Soliton
A solitary wave that asymptotically maintains its shape and velocity when interacting nonlinearly with other solitary waves is known as a soliton [43]. The characteristics of Soliton are as follows:
1. Their form is permanent.
2. They are confined to a certain area.
3. Aside from a phase shift, they can interact with other solitons and come out of the collision unaltered.
4. A fine balance between dispersive and nonlinear effects results in soliton.
2.4.3 Travelling Wave
A traveling wave [43] is one in which the medium moves in the direction of the wave's propagation. When studying nonlinear differential equations, traveling waves occur. These waves are represented by the form
u(x,t)=f(x-ct),
and c is the speed of wave propagation. For c>0, the wave moves in the positive x direction whereas the wave moves in the negative x direction for c
01:02 PM - Feb 27, 2025 (UTC)
Media Tech @mediatech12
2 months ago
I am a mathematician with experience in applied mathematics. Mathematics is often seen as complex and daunting subject, but its importance in our daily life cannot be overstated. Mathematics equips us with the essential skills of problem-solving and critical thinking. https://mathematicsglobe.c...
01:01 PM - Feb 27, 2025 (UTC)