Stability of the multi-solitons of the modified Korteweg-de Vries equation

We establish the nonlinear stability of $N$-soliton solutions of the modified Korteweg-de Vries (mKdV) equation. The $N$-soliton solutions are global solutions of mKdV behaving at (positive and negative) time infinity as sums of $1$-solitons with speeds $0

Keywords:

• Mathematical physics
• Conserved quantity
• Mathematics
• Linearization
• Infinity
• Korteweg–de Vries equation
• Soliton
• Operator (computer programming)
• Critical point (mathematics)
• Newton's laws of motion

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