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Based on the three-dimensional real special orthogonal Lie algebra so(3,R), we construct a new hierarchy of soliton equations by zero curvature equations and show that each equation in the resulting hierarchy has a bi-Hamiltonian structure and thus integrable in the Liouville sense. Furthermore, we present the infinitely many conservation laws for the new soliton hierarchy

mathematical problems in engineering

A New Soliton Hierarchy Associated with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mrow><mml:mtext>so</mml:mtext></mml:mrow><mml:mo>⁡</mml:mo><mml:mrow><mml:mfenced separators="|"><mml:mrow><mml:mn fontstyle="italic">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mrow></mml:math>and Its Conservation Laws

A New Soliton Hierarchy Associated withso⁡3,Rand Its Conservation Laws