3 problems
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Conjecture on the origin of oscillations in the higher-time-derivative mKdV equation
Consider the evolution of a localized Gaussian initial profile in the higher-time-derivative modified KdV equation, whose evolution tends to decay into -soliton solutions with i…
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Conjecture on realization of higher-soliton solutions in the rotated higher-time-derivative mKdV equation
Consider the rotated version of the higher-time-derivative modified KdV equation with parameter , and let denote the number of solitons in a solution. For…
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The most general multi-scalar-tensor theory in arbitrary dimensions and backgrounds
The multiple scalar field theory in flat space-time is obtained by requiring that its field equations have derivative order at most two. A covariantisation procedure extends this t…